August  2012, 5(4): i-i. doi: 10.3934/dcdss.2012.5.4i

Preface

1. 

Martin-Luther-Universität Halle-Wittenberg, Institut für Mathematik, D-06099 Halle

2. 

Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria 6, 95125 Catania

3. 

Université de Perpignan, Département de Mathématiques, 66860 Perpignan

Published  November 2011

The present issue intends to provide an exposition of very recent topics and results in the qualitative study of nonlinear elliptic equations or systems such as, e.g., existence, multiplicity, and comparison principles. Emphasis is put on variational techniques, combined with topological arguments and sub-super-solution methods, in both a smooth and non-smooth framework.
    The collected papers investigate a wide range of questions. Let us mention for instance multiple solutions to elliptic equations and systems in bounded or unbounded domains, sub-super-solutions of elliptic problems whose relevant energy functionals can be non-differentiable, singular elliptic equations, asymptotically critical problems on higher dimensional spheres, local $C^1$-minimizers versus local $W^{1,p}$-minimizers.
    Each contribution is original and thoroughly reviewed.
Citation: Siegfried Carl, Salvatore A. Marano, Dumitru Motreanu. Preface. Discrete & Continuous Dynamical Systems - S, 2012, 5 (4) : i-i. doi: 10.3934/dcdss.2012.5.4i
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