Infinitely many solutions for double phase problem with unbounded potential in RN

被引：23

作者：

Steglinski, Robert ^{[1
]}

机构：

[1] Lodz Univ Technol, Inst Math, Wolczanska 215, PL-90924 Lodz, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 214卷

关键词：

Double phase problems; Musielak-Orlicz-Sobolev spaces; Fountain Theorem; Dual Fountain Theorem; ELLIPTIC-EQUATIONS; MULTIPLE SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.na.2021.112580

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a double phase problem in R-N -div(vertical bar del u vertical bar(p-2) del u + a(x) vertical bar del u vertical bar(q-2) del u) + V(x)(vertical bar u vertical bar(p-2) u + a(x) vertical bar u vertical bar(q-2) u) = f(x, u) with an unbounded potential V and reaction term f, which does not satisfy the Ambrosetti-Rabinowitz condition. A new functional setting was provided for this problem. Using the Fountain and Dual Fountain Theorem with Cerami condition, we obtain some existence of infinitely many solutions. Our result extends some recent work in the literature. (C) 2021 The Author (s). Published by Elsevier Ltd.

引用

页数：20

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