Infinitely many solutions for quasilinear elliptic equations involving (p, q)-Laplacian in R

被引：4

作者：

Teng, Kaimin ^{[1
]}

Zhang, Chao ^{[2
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Shanxi, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 32卷

基金：

山西省青年科学基金;

关键词：

Quasilinear Schrodinger equation; Soliton solution; Infinitely many solutions; (p; q)-Laplacian; REACTION-DIFFUSION EQUATIONS; SCHRODINGER-EQUATIONS; SOLITON-SOLUTIONS; POSITIVE SOLUTIONS; Q-LAPLACIAN; EXISTENCE;

D O I：

10.1016/j.nonrwa.2016.04.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, under some superquadratic conditions made on the nonlinearity f, we use variational approaches to establish the existence of infinitely many solutions to quasilinear elliptic equations with (p, q)-Laplacian -L(p)u - L(q)u + a(x)vertical bar u vertical bar(p-2)u + b(x)vertical bar u vertical bar(q-2)u = f (x, u) in R, where 1 < q < p, L(p)u = vertical bar u'vertical bar(p-2)u') + (vertical bar u(2))'vertical bar(p-2)(u(2))')'u, L(q)u = vertical bar u'vertical bar(q-2)u') + (vertical bar u(2))'vertical bar(q-2)(u(2))')'u. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：242 / 259

页数：18

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