arXiv:1906.09001 Abstract | arXiv Analytics

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Eigenvalue problems with unbalanced growth: Nonlinear patterns and standing wave solutions

Published 2019-06-21Version 1

We consider two classes of nonlinear eigenvalue problems with double-phase energy and lack of compactness. We establish existence and non-existence results and related properties of solutions. Our analysis combines variational methods with the generalized Pucci-Serrin maximum principle.

Journal: Nonlinear Anal. 188 (2019), 377-388

DOI: 10.1016/j.na.2019.06.013

Categories: math.AP

Subjects: 35J20, 35J60, 35J75

Keywords: standing wave solutions, nonlinear patterns, unbalanced growth, nonlinear eigenvalue problems, generalized pucci-serrin maximum principle

Tags: journal article

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