Existence of solutions for singular double phase problems via the Nehari manifold method

被引：0
作者：
Wulong Liu
Guowei Dai
Nikolaos S. Papageorgiou
Patrick Winkert
机构：
[1] Jiangxi University of Science and Technology,School of Science
[2] Dalian University of Technology,School of Mathematical Sciences
[3] National Technical University,Department of Mathematics
[4] Technische Universität Berlin,Institut für Mathematik
来源：
Analysis and Mathematical Physics | 2022年 / 12卷
关键词：
Double phase operator; Fibering method; Multiple solutions; Nehari manifold; Singular problems; 35J15; 35J62; 35J92; 35P30;
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学科分类号：
摘要：
In this paper we study quasilinear elliptic equations driven by the double phase operator and a right-hand side which has the combined effect of a singular and of a parametric term. Based on the fibering method by using the Nehari manifold we are going to prove the existence of at least two weak solutions for such problems when the parameter is sufficiently small.
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