Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 188, Issue -, Pages 377-388Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2019.06.013
Keywords
Nonlinear eigenvalue problem; Unbalanced growth; Standing wave solution
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Funding
- Hungarian Ministry of Human Capacities [1783-3/2018/FEKUTSRAT]
- Hungarian Scientific Research Fund OTKA [K112157, SNN125119]
- Slovenian Research Agency [P1-0292, J1-8131, J1-7025, N1-0064, N1-0083]
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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. (C) 2019 Elsevier Ltd. All rights reserved.
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