Solutions for a singular critical growth problem with a weight

被引：13

作者：

Han, Pigong ^{[1
]}

Liu, Zhaoxia

机构：

[1] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China

[2] Cent Univ Nationalities, Sch Math & Comp Sci, Beijing 100081, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 327卷 / 02期

关键词：

semilinear elliptic equation; variational functional; Palais-Smale condition; critical exponent;

D O I：

10.1016/j.jmaa.2006.04.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider some semilinear elliptic equations with Hardy potential. By using linking theorem in [P. Rabinowitz, Minimax Methods in Critical Points Theory with Applications to Differential Equations, CBMS Reg. Conf. Ser. Math., vol. 65, Amer. Math. Soc., Providence, RI, 19861 and analyzing the effect of nonlinearities, we establish the existence of nontrivial solutions. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1075 / 1085

页数：11

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