文章基本信息

标题：Nonlinear eigenvalue problems for nonhomogeneous Leray–Lions operators
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作者：Mohamed Abdelwahed ; Nejmeddine Chorfi
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2020
卷号：2020
期号：1
页码：1
DOI：10.1186/s13661-020-01423-3
出版社：Hindawi Publishing Corporation
摘要：This paper deals with the mathematical analysis of a class of nonlinear eigenvalue problems driven by a nonhomogeneous differential operator. We are concerned both with the coercive and the noncoercive (and nonresonant) cases, which are in relationship with two associated Rayleigh quotients. The proof combines critical point theory arguments and the dual variational principle. The arguments developed in this paper can be extended to other classes of nonlinear eigenvalue problems with nonstandard growth.
关键词：35J60 ; 47J10 ; 49R05 ; 58E05