On a boundary value problem in the half-space

被引：9

作者：

Liu, Xiangqing ^{[2
]}

Liu, Jiaquan ^{[1
,3
]}

机构：

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

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

[3] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 04期

关键词：

Half-space; Asymptotically linear; Sign-changing solution; CONCENTRATION-COMPACTNESS PRINCIPLE; NONLINEAR SCHRODINGER-EQUATIONS; SEMILINEAR ELLIPTIC-EQUATIONS; SIGN-CHANGING SOLUTIONS; POSITIVE SOLUTIONS; MULTIPLICITY;

D O I：

10.1016/j.jde.2010.11.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence of positive solutions and sign-changing solutions for the following boundary value problem in the half-space Delta u = 0, in R-+(N+1), partial derivative u/partial derivative n + lambda g(x)u = f(u), on partial derivative R-+(N+1), where lambda is a positive parameter and the nonlinear term f is superlinear at zero and asymptotically linear at infinity. (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：2099 / 2142

页数：44

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