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

I. Faragó, Dušan Repovš

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)377-388
Number of pages12
JournalNonlinear Analysis, Theory, Methods and Applications
Volume188
DOIs
Publication statusPublished - Nov 1 2019

Fingerprint

Nonlinear Eigenvalue Problem
Maximum principle
Standing Wave
Maximum Principle
Variational Methods
Nonexistence
Eigenvalue Problem
Compactness
Energy
Class

Keywords

  • Nonlinear eigenvalue problem
  • Standing wave solution
  • Unbalanced growth

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Eigenvalue problems with unbalanced growth : Nonlinear patterns and standing wave solutions. / Faragó, I.; Repovš, Dušan.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 188, 01.11.2019, p. 377-388.

Research output: Contribution to journalArticle

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