On an asymptotically p-linear p-Laplacian equation in RN

被引：5

作者：

Liu, Jiaquan ^{[2
,3
]}

Liu, Xiangqing ^{[1
,2
]}

Guo, Yuxia ^{[4
]}

机构：

[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Peoples R China

[2] Soochow Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China

[3] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

[4] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 02期

关键词：

p-Laplacian; Asymptotically p-linear; Sign-changing solution; NONLINEAR SCHRODINGER-EQUATIONS; DEEPENING POTENTIAL WELL;

D O I：

10.1016/j.na.2010.09.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions and sign-changing solutions for the p-Laplacian equation -Delta(p)u + lambda g(x) vertical bar u vertical bar(p-2) u = f(x, u), x is an element of R-N, where lambda is a positive parameter and the nonlinear term f is superlinear at zero and asymptotically p-linear at infinity. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：676 / 688

页数：13

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