Published Works of James Serrin

Bibliographic information at the end of an entry is enclosed in brackets when it refers to the full volume cited by the entry.

1. Free boundaries and jets in the theory of cavitation (with DAVID GILBARG). Journal of Mathematics and Physics 29 (1950), pp. 1-12. 2. Uniqueness theorems for two free boundary problems. American Journal of Mathe• matics 74 (1952), pp.492-506. 3. Existence theorems for some hydrodynamical free boundary problems. Journal of Rational Mechanics and Analysis 1 (1952), pp. 1-48. 4. Two hydrodynamical comparison theorems. Journal of Rational Mechanics and Analysis 1 (1952), pp. 563-572. 5. On plane and axially symmetric free boundary problems. Journal of Rational Me• chanics and Analysis 2 (1953), pp. 563-575. 6. A note on the wave equation. Proceedings of the American Mathematical Society 5 (1954), pp. 307-308. 7. Comparison theorems for subsonic flows. Journal of Mathematics and Physics 33 (1954), pp.27-45. 8. On the Phragmen-Lindel6f theorem for elliptic partial differential equations. Journal of Rational Mechanics and Analysis 3 (1954), pp.395--413. 9. A uniqueness theorem for the parabolic equation ut = a(x) uxx + hex) Ux + c(x) u. Bulletin of the American Mathematical Society 60 (1954), p.344. Abstract, only published version. 10. Uniqueness of axially symmetric subsonic flow past a finite body (with DAVID GILBARG). Journal of Rational Mechanics and Analysis 4 (1955), pp. 169-175. 11. A characterization of regular boundary points for second order linear differential equations. Bulletin of the American Mathematical Society 61 (1955), p. 224. [Ab• stract, only published version.] 12. On the Harnack inequality for linear elliptic equations. Journal d'Anaiyse Mathe• matique 4 (1956), pp. 292-308. 13. On isolated singularities of solutions of second order linear elliptic equations (with DAVID GILBARG). Journal d'Analyse Mathematique 4 (1956), pp.309-340. 820 J. SERRIN

14. A note on harmonic functions defined in a half-plane. Duke Mathematical Journal 24 (1956), pp. 523-526. 15. On the HOlder continuity of quasi-conformal and elliptic mappings (with ROBERT FINN). Transactions of the American Mathematical Society 89 (1958), pp. 1-15. 16. Mathematical principles of classical fluid mechanics. Handbuch der Physik, vol. VIIIll (1959), pp. 125-263. 16A. Russian Translation: Foreign Literature Publishing House, Moscow 1963 (256 pages). 17. On the stability of viscous fluid motions. Archive for Rational Mechanics and Anal• ysis 3 (1959), pp. 1-13. 18. A note on the existence of periodic solutions of the Navier-Stokes equations. Archive for Rational Mechanics and Analysis 3 (1959), pp. 120-122. 19. On the uniqueness of compressible fluid motions. Archive for Rational Mechanics and Analysis 3 (1959), pp.271-288. 20. On the derivation of stress-deformation relations for a Stokesian fluid. Journal of Mathematics and Mechanics 8 (1959), pp.459-470. 21. Poiseuille and Couette flow of non-Newtonian fluids. Zeitschrift fur Angewandte Mathematik und Mechanik 39 (1959), pp.295-299. 22. On a fundamental theorem of the calculus of variations. Acta Mathematica 102 (1959), pp. 1-22. 23. A new definition of the integral for non-parametric problems in the calculus of variations. Acta Mathematica 102 (1959), pp.23-32. 24. The exterior Dirichlet problem for second order elliptic equations (with NORMAN MEYERS). Journal of Mathematics and Mechanics 9 (1960), pp.513-538. 25. On the area of curved surfaces. American Mathematical Monthly 68 (1961), pp. 435- 440. 26. On the differentiability of functions of several variables. Archive for Rational Mechanics and Analysis 7 (1961), pp.359-372. 27. On the definition and properties of certain variational integrals. Transactions of the American Mathematical Society 101 (1961), pp. 139-167. 28. On the entropy change through a shock layer (with Y. C. WHANG). Journal of the Aerospace Sciences 28 (1961), pp.990-991. 29. Dirichlet's principle in the calculus of variations. Proceedings of Symposia in Pure Mathematics (American Mathematical Society) IV, pp. 17-22. 30. Interior estimates for solutions of the Navier-Stokes equations. Partial Differential Equations and Continuum Mechanics, edited by R. LANGER, pp. 376-378. University of Wisconsin Press, Madison 1961. [Conference proceedings.] 31. On the interior regularity of weak solutions of the Navier-Stokes equations. Ar• chive for Rational Mechanics and Analysis 9 (1962), pp. 187-195. 32. Strong convergence in a product space. Proceedings of the American Mathematical Society 13 (1962), pp.651-655. 33. The initial value problem for the Navier-Stokes equations. Nonlinear problems, edited by R. E. LANGER, pp. 69-98. University of Wisconsin Press, Madison 1963. [Conference proceedings.] 34. Variational problems of minimal surface type, I (with HOWARD JENKINS). Archive for Rational Mechanics and Analysis 12 (1963), pp. 185-212. See also entries 47 and 57. 35. Comparison and averaging methods in mathematical physics. Proprieta di Media e Teoremi di Confronto in Fisica Matematica, pp. 1-87. Centro Internazionale Matematico Estivo, Rome 1963. 36. A priori estimates for solutions of the minimal surface equation. Archive for Ration• al Mechanics and Analysis 14 (1963), pp. 376-383. See also entry 54. Published Works 821

37. A Harnack inequality for nonlinear equations. Bulletin of the American Mathemati• cal Society 69 (1963), pp.481-486. See also entries 38 and 44. 38. Local behavior of solutions of quasi-linear equations. Acta Mathematica 111 (1964), pp.247-302. 39. Sublinear functions of measures and variational integrals (with CASPAR GOFFMAN). Duke Mathematical Journal 31 (1964), pp. 159-178. 40. H = W (with NORMAN MEYERS). Proceedings of the National Academy of Sciences (USA) 51 (1964), pp. 1055-1056. 41. Removable singularities of solutions of elliptic equations. Archive for Rational Mechanics and Analysis 17 (1964), pp.67-78. See also entry 45. 42. Pathological solutions of elliptic differential equations. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (Serie II) 18 (1964), pp.385-387. 43. Singularities of solutions of nonlinear equations. Proceedings of Symposia in Applied Mathematics (American Mathematical Society) XVII (1965), pp.68-88. 44. Isolated singularities of solutions of quasi-linear equations. Acta Mathematica 113 (1965), pp.219-240. 45. Removable singularities of solutions of elliptic differential equations, II. Archive for Rational Mechanics and Analysis 20 (1965), pp. 163-169. 46. The Dirichlet problem for the minimal surface equation, with infinite data (with HOWARD JENKINS). Bulletin of the American Mathematical Society 72 (1966), pp. 102-106. See also entry 57. 47. Variational problems of minimal surface type, II: Boundary value problems for the minimal surface equation (with HOWARD JENKINS). Archive for Rational Mechan• ics and Analysis 21 (1966), pp.321-342. 48. Isolated singularities of solutions of linear elliptic equations (with H. F. WEIN• BERGER). American Journal of Mathematics 88 (1966), pp.258-272. 49. Removable singularities of solutions of elliptic equations. Notices of the American Mathematical Society 13 (1966), pp. 123. Abstract, only published version. 50. Local behavior of solutions of quasilinear parabolic equations (with D. G. ARON• SON). Archive for Rational Mechanics and Analysis 25 (1967), pp.81-122. 51. A maximum principle for nonlinear parabolic equations (with D. G. ARONSON). Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (Serie II) 21 (1967), pp.291-305. 52. The Dirichlet problem for quasilinear elliptic equations with many independent variables. Proceedings of the National Academy of Sciences (USA) 58 (1967), pp. 1829-1835. See also entry 62. 53. On the asymptotic behavior of velocity profiles in the Prandtl boundary layer theory. Proceedings of the Royal Society of London, A 299 (1967), pp.491-507. 54. Addendum to "A priori estimates for solutions of the minimal surface equation". Archive for Rational Mechanics and Analysis 28 (1968), pp. 149-154. See also entry 36. 55. The Dirichlet problem for the minimal' surface equation in higher dimensions. Journal fiir die reine und angewandte Mathematik 223 (1968), pp. 170-187. 56. On the mathematical basis of Prandtl's boundary layer theory: an example. Ar• chive for Rational Mechanics and Analysis 28 (1968), pp.217-225. 57. Variational problems of minimal surface type, III: The Dirichlet problem with in• finite data (with HOWARD JENKINS). Archive for Rational Mechanics and Analysis 29 (1968), pp. 304-322. 58. The behavior of similar solutions in a compressible boundary layer (with J. B. Mc• LEOD). Journal of Fluid Mechanics 34 (1968), pp.337-342. 59. A new proof in differentiation theory. Notices of the American Mathematical Society 15 (1968), p. 1036. Abstract; see also RUDIN, W.: Real and Complex Analysis, Second Edition (McGraw-Hill, 1974), pp. xii and 435, and pp.162-167. 822 J. SERRIN

60. A general chain rule for derivatives (with D. E. VARBERG). American Mathematical Monthly 76 (1969), pp.514-520. 61. The existence of similar solutions for some laminar boundary layer problems (with J. B. McLEOD). Archive for Rational Mechanics and Analysis 31 (1969), pp. 288- 303. 62. The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables. Philosophical Transactions of the Royal Society of London, A 264 (1969), pp.4l3-496. 62A. The Dirichlet problem for nonuniformly elliptic partial differential equations. Notices of the American Mathematical Society 14, (1967) p. 712. 62B. On the nonexistence of solutions of Dirichlet's problem. Notices of the American Mathematical Society 14 (1967), p.841. 63. On surfaces of constant mean curvature which span a given space curve. Mathe• matische Zeitschri/t 88 (1969), pp. 77-88. 64. Existence theorems for more compressible boundary layer problems. Studies in Applied Mathematics (SIAM) 5 (1970), pp. 35-42. [Conference proceedings.] 65. The Dirichlet problem for surfaces of constant mean curvature. Proceedings of the London Mathematical Society (3) 21 (1970), pp.361-384. 66. On the strong maximum principle for nonlinear second order differential inequali• ties. Journal of Functional Analysis 5 (970), pp. 184-193. 67. Recent developments in the mathematical aspects of boundary layer theory. International Journal of Engineering Sciences 9 (1971), pp.233-240. 68. Curvature inequalities for surfaces over a disk (with H. F. WEINBERGER). Some Problems of Mathematics and Mechanics, pp. 242-250. "Nauka" Publishing House, Leningrad, 1970. [M. A. LAVRENTlEfF anniversary volume, Academy of Sciences USSR, in Russian.] 68A. English version: American Mathematical Society Translations 104 (1976), pp. 223- 231. 69. Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form (with JIM DOUGLAS, Jr., & TODD DUPONT). Archive for Rational Mechanics and Analysis 42 (1971), pp. 157-168. 70. Boundary curvatures and the solvability of Dirichlet's problem. Proceedings of the International Congress of Mathematicians (Nice 1970), Volume 2, pp.867-875. Gauthier-Villars, Paris 1971. 71. A symmetry problem in potential theory. Archive for Rational Mechanics and Anal• ysis 43 (1971), pp.304-318. 72. Gradient estimates for solutions of nonlinear elliptic and parabolic equations. Contributions to Nonlinear Functional Analysis, edited by E. ZARANTONELLO, pp. 565-601. Academic Press, New York, London 1971. [Conference proceedings.] 73. The swirling vortex. Philosophical Transactions of the Royal Society of London, A 271 (1972), pp. 325-360. 74. Entire solutions of nonlinear Poisson equations. Proceedings of the London Mathe• matical Society (3) 24 (1972), pp.348-366. 75. A note on the preceding paper of Amann. Archive for Rational Mechanics and Analysis 44 (1972), pp. 182-186. 76. Rectilinear steady flow of simple fluids (with R. L. FOSDICK). Proceedings of the Royal Society of London, A 332 (1973), pp.311-333. 77. On the axioms of classical mechanics. University of Minnesota, Minneapolis 1974 (74 pages, multiplied typescript). 78. Liouville theorems for nonlinear Poisson equations. Accademia Nazionale dei Lincei, Problemi Attuali di Scienza e di Cultura 217 (1975), pp. 207-215. [Conference proceedings.] Published Works 823

79. Is "Doomsday" on target? Science 189 (1975), pp.86-87. 80. The solvability of boundary value problems: Hilbert's twentieth problem. Pro• ceedings of Symposia in Pure Mathematics (American Mathematical Society) XXVIII (1976), pp. 507-524. [Anniversary volume for the Hilbert problems, edited by F. BROWDER.] 81. Global properties of continuum thermodynamic processes (with R. L. FOSDICK). Archive for Rational Mechanics and Analysis 59 (1975), pp.97-109. 82. Liouville theorems and gradient bounds for quasilinear elliptic systems. Archive for Rational Mechanics and Analysis 66 (1977), pp. 295-310. 83. Optional shapes for brittle beams under torsion (with H. F. WEINBERGER). Complex Analysis and its Applications, pp. 88-91. "Nauka" Publishing House, Moscow 1978. [Anniversary volume in honor of I. Y. VEKUA, Steklov Mathematical Insti• tute, Academy of Sciences USSR.] 84. Gradient bounds and Liouville theorems for quasilinear elliptic equations (with L. A. PELETIER). Annali della Scuola Normale Superiore di Pisa, Classe di Scienza (Serie III) 5 (1978), pp.65-104. 85. The concepts of thermodynamics. Contemporary Developments in Continuum Me• chanics and Partial Differential Equations (North-Holland Mathematical Studies 30), edited by G. M. DE LA PENHA & L. A. J. MEDEIROS, pp.411-451. North-Holland, Amsterdam, 1978. [Conference proceedings.] 86. On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids (with R. L. FOSDICK). Journal of Elasticity 9 (1979), pp. 83-89. 87. Conceptual analysis of the classical second laws of thermodynamics. Archive for Rational Mechanics and Analysis 70 (1979), 254-272. 88. Phase transitions and interfacial layers for van der Waals fluids. Recent Methods in Nonlinear Analysis and Applications, edited by A. CANFORA, S. RIONERO, C. SBOR• DONE & G. TROMBETTI, pp. 169-175. Liguori, Naples 1981. [Conference procee• dings.] 89. The second law of thermodynamics for systems with approximate cycles (with BERNARD D. COLEMAN & DAVID R. OWEN). Archive for Rational Mechanics and Analysis 77 (1981), pp. 103-142. 90. Uniqueness of solutions of semilinear Poisson equations (with KEVIN McLEOD). Proceedings of the National Academy of Sciences (USA) 78 (1981), pp. 6592-6598. Se.:! also entry 110. 91. Uniqueness of positive solutions of semiJinear equations in R n (with L. A. PELE• TIER). Archive for Rational Mechanics and Analysis 81 (1983), pp. 181-197. 92. The form of interfacial surfaces in Korteweg's theory of phase equilibria. Quarterly of Applied Mathematics 41 (1983), pp.357-364. 93. The mechanical theory of fluid interfaces and Maxwell's rule (with ELIAS C. AI• FANTIS). Journal of Colloid and Interface Science 96 (1983), pp.519-547. 94. The structure and laws of thermodynamics. Proceedings of the International Con• gress of Mathematicians (Warsaw 1983), Volume 2, pp. 1717-1728. North-Holland, Amsterdam 1984. 95. One-dimensional shock layers in Korteweg fluids (with R. HAGAN). Phase Trans• formations and Material1nstabilities in Solids, edited by M. E. GURTIN, pp. 113-128. Academic Press, Orlando 1984. [Conference proceedings.] 96. Applied mathematics and scientific thought. Nonlinear Analysis and Optimization (Springer Lecture Notes in Mathematics 1107), edited by C. VINTI, pp. 19-27. Sprin• ger-Verlag, Berlin, Heidelberg, New York 1984. [Proceedings of anniversary con• ference in honor of LAMBERTO CESARI.] 97. Extensions of the mountain pass theorem (with PATRIZIA PUCCI). Journal of Func• tional Analysis 59 (1984), pp. 185-210. 824 J. SERRIN

98. A mountain pass theorem (with PATRIZIA PUCCI). Journal of Differential Equations 60 (1985), pp. 142-149. 99. On the thermomechanics of interstitial working (with J. E. DUNN). Archive for Rational Mechanics and Analysis 88 (1985), pp.95-133. 100. A continuum model for chemical mixture dynamics. Developments in Mechanics (Proceedings of Midwestern Mechanics Conferences) 13 (1985), pp.59-64. 101. Non-existence theorems for quasilinear partial differential equations (with WEI• MING NI). Supplemento ai Rendiconti del Circolo Matematico di Palermo (Serie II) 8 (1985), pp. 171-185. [Proceedings of conference celebrating the centenary of the Circolo Matematico di Palermo.] 102. An outline of thermodynamical structure. New Perspectives in Thermodynamics, pp.3-32. Springer-Verlag, Berlin, Heidelberg, New York 1986. 103. Dynamic changes of phase in a van der Waals fluids (with R. HAGAN). New Per• spectives in Thermodynamics, pp.241-260. Springer-Verlag, Berlin, Heidelberg, New York 1986. 104. Uniqueness of non-negative solutions of semilinear equations in lRn (with L. A. PE• LETIER). Journal of Differential Equations 61 (1986), pp. 380-397. 105. Existence and nonexistence theorems for ground states of quasilinear partial 'differential equations. The anomalous case (with WEI-MING NI). Accademia Na• zionale dei Lincei, Afti dei Convegni Lincei 77 (1986), pp.231-257. [Proceedings of conference celebrating the centenary of MAURO PICONE and LEONIDA To• NELLI.] 106. Non-existence of singular solutions of quasilinear partial differential equations (with WEI-MING NI). Communications on Pure and Applied Mathematics 39 (1986), pp. 379-399. 107. A general variational identity (with PATRIZIA PUCCI). Indiana University Mathema• tics Journal 35 (1986), pp. 681-703. 108. Esistenza e unicita degli stati fondamentali per equazioni ellittiche quasilineari (with BRUNO FRANCHI & ERMANNO LANCONELLI). Afti della Accademia Nazionale dfli Lincei (Serie 8), Rendiconti: Classe di Scienze Fisiche, Matematiche e Naturali 79 (1986), pp. 121-126. See also entry 116. 109. The structure of the critical set in the mountain pass theorem (with PATRIZIA PUCCI). Transactions of the American Mathematical Society 299 (1987), pp. 115-132. 110. Uniqueness of positive radial solutions of L1u + feu) = 0 in lRn (with KEVIN McLEOD). Archive for Rational Mechanics and Analysis 99 (1987), pp. 115-145. 111. Ground states for a prescribed mean curvature equation (with L. A. PELETIER). Proceedings of the American Mathematical Society 100 (1987), pp. 694-700. 112. The laws of thermodynamics. Res Mechanica 21 (1987), pp. 361-379. 113. Some strange cycles in thermodynamics. Science and Pseudo-Science, edited by A. LIBERMAN & R. ARIS, pp. 3-27. University of Minnesota, 1987. 114. Positive solutions of a prescribed mean curvature equation. Calculus of Variations and Partial Differential Equations (Springer Lecture Notes in Mathematics 1340), edited by S. HILDEBRANDT, D. KINDERLEHRER & M. MIRANDA, pp. 245-255. Springer-Verlag 1988. [Proceedings of conference in honor of HANS LEWY.] 115. Ground states for the prescribed mean curvature equation: The supercritical case (with F. V. ATKINSON & L. A. PELETIER). Nonlinear Diffusion Equations and their Equilibrium States, edited by J. SERRIN, W.-M. NI & L. A. PELETIER, pp. 51-74. MSRI Publications, vol. 12, Springer-Verlag 1988. 116. Existence and uniqueness of ground states for quasilinear elliptic equations (with B. FRANCHI & E. LANCONELLI). Nonlinear Diffusion Equations and their Equil;'· brium States, edited by J. SERRJN, W.-M. NI & L. A. PELETIER, pp. 293-300. MSRI Publications, vol. 12, Springer-Verlag 1988. Published Works 825 117. Remarks on the first eigenspace for the polyharmonic operator in a ball (with PATRIZIA PUCCI). Atti del Seminario Matematico dell' University di Modena 36 (1988), pp. 106-117.

In Press

118. Critical exponents and critical dimensions for the polyharmonic operator (with PATRIZIA PUCCI). Journal de Mathematiques Pures et Appliquees. 119. Asymptotic properties for solutions of strongly nonlinear ordinary differential ec)uations (with PATRIZIA PUCCI). Proceedings of Conference on Differential Equa• tions and Geometry, Torino.

Lecture Notes

Ll. Mathematical Aspects of Boundary Layer Theory, notes taken by H. K. WILSON. Department of Mathematics, University of Minnesota, Minneapolis 1963 (131 pa- ges, multiplied typescript). . L2. Theory of Differentiation, notes taken by T. HATCHER. Department of Mathematics, University of Minnesota, Minneapolis 1965 (135 pages, multiplied typescript). L3. Nonlinear Elliptic Equations of Second Order. Lectures at Symposium on Partial Differential Equations, Berkeley 1971 (57 pages, multiplied typescript). L4. Foundations of Classical Thermodynamics. Department of Mathematics, University of Chicago 1975 (223 pages, multiplied typescript). L5. Foundations of Thermodynamics. University of Naples 1979 (138 pages, multiplied typescript).

Edited Volumes

New Perspectives in Thermodynamics. Springer-Verlag, Berlin, Heidelberg, New York 1986 (xvi + 260 pages). Nonlinear Diffusion Equations and their Equilibrium States, I, II. MSRI Publications 12,13. Springer-Verlag, New York, Berlin, Heidelberg, 1988 (xviii + 359 + 365 pages). [Co-edited with W.-M. NI & L. A. PELETIER.] Places of First Publication

of the articles reprinted above, all in Archive for Rational Mechanics and Analysis

AMICK, C.J., & FRAENKEL, L.E., The Uniqueness of Hill's Spherical Vortex 92, 91-119 (1986) ...... 43

ARONSON, D. G., & VAZQUEZ, J. L., Eventual COO -Regularity and Concavity for Flows in One-Dimensional Porous Media 99, 329-348 (1987) ...... 627

ATKINSON, F. V., & PELETlER, L.A, Ground States and Dirichlet Problems for -L1u =f(u) in R2 96, 147-165 (1986) ...... 409

BAKELMAN, I. 1., The Boundary Value Problems for Non-Linear Elliptic Equations and the Maximum Principle for Euler-Lagrange Equations 93, 271 - 300 (1986) ...... 181

BALL, 1. M., & JAMES, R. D., Fine Phase Mixtures as Minimizers of Energy 100, 13-52 (1987) ...... 647

BALL, J. M., & KNOWLES, G., Lyapunov Functions for Thermomechanics with Spatially Varying Boundary Temperatures 92, 193-204 (1986)...... 73

BREZIS, H., & OSWALD, L., Singular Solutions for Some Semilinear Elliptic Equations 99, 249-259 (1987)...... 615

CAFFARELLI, L. A, & FRIEDMAN, A, Differentiability of the Blow-up Curve for One Dimensional Nonlinear Wave Equations 91,83-98 (1985) ......

CAPRIZ, G., & GIOVINE, P., On Effects of Virtual Inertia During Diffusion of a Dispersed Medium in a Suspension 98, 115 - 122 (1987) ...... 491

CESARI, L., BRANDI, P., & SALVADORI, A., Existence Theorems Concerning Simple Integrals of the Calculus of Variations for Discontinuous Solutions 98, 307 - 328 (1987) ...... 543

CHIPOT, M., KINDERLEHRER, D., & VERGARA CAFFARELLI, G., Smoothness of Linear Laminates 96,81-96 (1986)...... 383 828 Places of First Publication

DAFERMOS, C. M., Quasilinear Hyperbolic Systems with Involutions 94,373-;389 (1986)...... 291

DING, W.-Y., & Ni, W.-M., On the Existence of Positive Entire Solutions of a Semilinear Elliptic Equation 91, 283-308 (1986) ...... 17

DUNN, IE., & FOSDICK, R.L., Steady, Structured Shock Waves. Part 1: Thermoelastic Materials 104, 295-365 (1988) ...... 747

EDMUNDS, D. E., & EDMUNDS, R. M., Embeddings of Anisotropic Sobolev Spaces 94, 245-252 (1986) ...... 269

ERICKSEN, J. L., Stable Equilibrium Configurations of Elastic Crystals 94, 1-14 (1986) ...... 239

FABES, E.B., & STROOCK, D. W., A New Proof of Moser's Parabolic Harnack Inequality Using the Old Ideas of Nash 96, 327-338 (1986) ...... 459

FIFE, P., HSIAO, L., & ZHANG, T., A Multiparameter Study of a Boundary Value Problem from Chemical Reactor Theory 92, 307-335 (1986)...... 107

GALDI, G. P., & MAREMONTI, P., Monotonic Decreasing and Asymptotic Behavior of the Kinetic Energy for Weak Solutions of the Navier-Stokes Equations in Exterior Domains 94, 253 - 266 (1986) ...... 277

GIUSTI, E., On the Behavior of the Derivatives of Minimizers near Singular Points 96,137-146 (1986) ...... 399

GURTIN, M.E., On Phase lfansitions with Bulk, Interfacial, and Boundary Energy 96, 243-264 (1986) ...... 429

HEINRICHER, A. C., & MIZEL, V. J., The Lavrentiev Phenomenon for Invariant Variational Problems 102, 57-93 (1988)...... 709

JONES, M., & TOLAND, J., Symmetry and the Bifurcation of Capillary-Gravity Waves 96,29-53 (1986)...... 357

KONDRATIEV, V. A., & OLEINIK, O. A., On the Behavior at Infinity of Solutions of Elliptic Systems with a Finite Energy Integral 99, 75-89 (1987) ...... 575

LEVINE, H. A., & WEINBERGER, H. E, Inequalities Between Dirichlet and Neumann Eigenvalues 94, 193-208 (1986) ...... 253 Places of First Publication 829

LITTMAN, W., Spectral Properties of the Laplacian in the Complement of a Deformed Cylinder 96, 319 - 325 (1986) ...... 451

McLEOD, K., Asymptotic Behaviour of Solutions of Semi-Linear Elliptic Equations in [Rn 98, 295 - 305 (1987) ...... 531

McLEOD, J. B., & RAJAGOPAL, K. R., On the Uniqueness of Flow of a Navier-Stokes Fluid Due to a Stretching Boundary 98, 385 - 393 (1987) ...... 565

NOLL, W., & VIRGA, E. G., Fit Regions and Functions of Bounded Variation 102, 1 - 21 (1988)...... 687

OWEN, D. R., Weakly Decaying Energy Separation and Uniqueness of Motions of an Elastic-Plastic Oscillator with Work-Hardening 98, 95 -114 (1987) ...... 471

PUCCI, P., A Semilinear Elliptic Problem Which Is Not Selfadjoint 92, 265-285 (1986) ...... 85

RABINOWITZ, P. H., A Note on a Theorem of R. Duffin 93, 91-102 (1986) ...... 169

REDHEFFER, R., A Class of Quasilinear Differential Inequalities Whose Solutions Are Ultimately Constant 99, 165 -187 (1987) ...... 591

ROYTBURD, V., & SLEMROD, M., Positively Invariant Regions for a Problem in Phase Transitions 93, 61 - 79 (1986) ...... 149

SHIH, K.-G., & ANTMAN, S. S., Qualitative Properties of Large Buckled States of Spherical Shells 93, 357 - 384 (1986) ...... 211

SMOLLER, J., & WASSERMAN, A., Existence of Positive Solutions for Semilinear Elliptic Equations in General Domains 98, 229-249 (1987) ...... 499

TALENTI, G., Assembling a Rearrangement 98,285-293 (1987)...... 521

TEMAM, R., A Generalized Norton-Hoff Model and the Prandtl-Reuss Law of Plasticity 95, 137 -183 (1986)...... 309

ZIEMER, W. P., Boundary Regularity for Quasiminima 92, 371-382 (1986) ...... 137