Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy-Sobolev-Maz'ya terms*

被引：1

作者：

Wang, Lixia ^{[1
]}

Zhao, Pingping ^{[1
]}

Zhang, Dong ^{[1
]}

机构：

[1] Tianjin Chengjian Univ, Sch Sci, Tianjin 300384, Peoples R China

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2022年

关键词：

  Hardy-Sobolev-Maz?ya exponents; invariant sets; sign-changing solutions; minimax method;

D O I：

10.15388/namc.2022.27.27538

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy???Sobolev???Maz???ya terms. By using a compactness result obtained in [C.H. Wang, J. Yang, Infinitely many solutions for an elliptic problem with double Hardy???Sobolev???Maz???ya terms, Discrete Contin. Dyn. Syst., 36(3):1603???1628, 2016], we prove the existence of these solutions by a combination of invariant sets method and Ljusternik???Schnirelmantype minimax method.

引用

页码：863 / 878

页数：16

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