Advances in Nonlinear Analysis
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ADVANCES IN NONLINEAR ANALYSIS EDITORS-IN-CHIEF Vicentiu Radulescu, Craiova Donato Fortunato, Bari Marco Squassina, Brescia Nicola Fusco, Napoli Marius Ghergu, Dublin HONORARY EDITORS Jacques Giacomoni, Pau Viorel Barbu, Iasi Olivier Goubet, Amiens Haim Brezis, Piscataway, NJ Louis Jeanjean, Besançon Philippe G. Ciarlet, Hong Kong Jan Kristensen, Oxford Jean Mawhin, Louvain-la-Neuve Irena Lasiecka, Charlottesville, VA Roger Temam, Bloomington, IN Giuseppe Mingione, Parma Michel Willem, Louvain-la-Neuve Alain Miranville, Poitiers EDITORIAL BOARD Giovanni Molica Bisci, Reggio Calabria Shair Ahmad, San Antonio, TX Hoai-Minh Nguyen, Lausanne Thomas Bartsch, Giessen Kanishka Perera, Melbourne, FL Vieri Benci, Pisa Patrizia Pucci, Perugia Franco Brezzi, Pavia Dušan Repovš, Ljubljana Marco Degiovanni, Brescia Jean Van Schaftingen, Louvain-la-Neuve Manuel del Pino, Santiago Zhi-Qiang Wang, Logan, UT Guido De Philippis, Trieste Binlin Zhang, Harbin Frank Duzaar, Erlangen Wenming Zou, Bejing ADVANCES IN NONLINEAR ANALYSIS publishes very selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. It especially welcomes contributions dealing with calculus of variations and PDEs, variational and topological methods for ODEs and PDEs, non-smooth analysis and optimization, gene- ralized differentiability, set-valued functions, bifurcation theory, convex analysis or variational inequalities. All information regarding notes for contributors, subscriptions, Open access, back volumes and orders is available online at www.degruyter.com/ana. ABSTRACTED/INDEXED IN Baidu Scholar · Celdes · CNKI Scholar (China National Knowledge Infrastructure) · CNPIEC · EBSCO (relevant databases) · EBSCO Discovery Service · Elsevier: SCOPUS · Genamics JournalSeek · Google Scholar · J-Gate · JournalTOCs · Mathematical Reviews (MathSciNet) · Naviga (Softweco) · Primo Central (ExLibris) · ReadCube · ResearchGate · SCImago (SJR) · Sherpa/RoMEO · Summon (Serials Solutions/ProQuest) · TDOne (TDNet) · Thomson Reuters: Current Contents/Physical, Chemical and Earth Sciences; Journal Citation Reports/ Science Edition; Science Citation Index Expanded · Ulrich’s Periodicals Directory/ulrichsweb · WorldCat (OCLC) · Zentralblatt Math (zbMATH). ISSN 2191-9496 · e-ISSN 2191-950X RESPONSIBLE EDITORS Vicentiu Radulescu, Mathematics Institute “Simion Stoilow” of the Romanian Academy, Bucharest / Department of Mathematics, University of Craiova, 200585 Craiova, Romania. Email: [email protected] Marco Squassina, Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via dei Musei 41, I-25121 Brescia, Italy. Email: [email protected] All email communications related to this journal should be directed to [email protected] JOURNAL MANAGER Theresa Haney, De Gruyter, Genthiner Straße 13, 10785 Berlin, Germany. Tel.: +49 (0)30 260 05-375, Fax: +49 (0)30 260 05-250 Email: [email protected] RESPONSIBLE FOR ADVERTISEMENTS Claudia Neumann, De Gruyter, Genthiner Straße 13, 10785 Berlin, Germany. Tel.: +49 (0)30 260 05-226, Fax: +49 (0)30 260 05-264 Email: [email protected] © 2017 Walter de Gruyter GmbH, Berlin/Boston TYPESETTING Dimler & Albroscheit, Müncheberg PRINTING Franz X. Stückle Druck und Verlag e.K., Ettenheim Printed in Germany. Advances in Nonlinear Analysis Ë 2017 | Volume 6 | Issue 4 Contents Giuseppina Autuori, Federico Cluni, Vittorio Gusella, Ky Ho, Inbo Sim Patrizia Pucci A-priori bounds and existence for solutions of weighted Mathematical models for nonlocal elastic composite elliptic equations with a convection term 427 materials 355 Maya Chhetri, Pavel Drábek, Ratnasingham Shivaji Nicola Abatangelo Analysis of positive solutions for classes of quasilinear Very large solutions for the fractional Laplacian: Towards singular problems on exterior domains 447 a fractional Keller–Osserman condition 383 Eduardo Colorado On the existence of bound and ground states for some coupled nonlinear Schrödinger–Korteweg–de Vries equations 407 .