Eigenvalue problems with unbalanced growth: Nonlinear patterns and standing wave solutions. (November 2019)

• Record Type: Journal Article
• Authors: Faragó, István; Repovš, Dušan
• Is Part Of: Nonlinear analysis. Volume 188(2019)
• Page Start: 377
• Page End: 388
• Publication Date: 2019-11
• Subjects: 35J20 -- 35J60 -- 35J75; Nonlinear eigenvalue problem -- Unbalanced growth -- Standing wave solution; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.06.013
• Languages: English
• ISSNs: 0362-546X

Abstract

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.