Existence of solutions to a class of semilinear elliptic equations involving general subcritical growth

被引：8

作者：

Lan, Yong-Yi ^{[1
,2
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2014年 / 144卷 / 04期

基金：

中国国家自然科学基金;

关键词：

SCHRODINGER-EQUATION; AMBROSETTI;

D O I：

10.1017/S030821051300036X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the semilinear elliptic equation -Delta u = lambda f(x, u) with the Dirichlet boundary value, and under suitable assumptions on the nonlinear term f with a more general growth condition. Some existence results of solutions are given for all lambda > 0 via the variational method and some analysis techniques.

引用

页码：809 / 818

页数：10

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