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

Faragó, István (author), Repovš, Dušan (author)

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.

• Language: English
• Keywords: nonlinear eigenvalue problem, unbalanced growth, standing wave solution
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2019
• Number of pages: Str. 377-388
• Numbering: Vol. 188
• PID: 20.500.12556/RUL-108775
• UDC: 517.956
• ISSN on article: 0362-546X
• DOI: 10.1016/j.na.2019.06.013
• COBISS.SI-ID: 18661465
• Publication date in RUL: 22.07.2019

Record is a part of a journal

• Title: Nonlinear Analysis
• Shortened title: Nonlinear anal.
• Publisher: Pergamon Press
• ISSN: 0362-546X
• COBISS.SI-ID: 26027520