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.
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页码：242 / 259
页数：18
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