Existence of solutions for a nonlinear PDE with an inverse square potential

被引：52

作者：

Chen, JQ ^{[1
]}

机构：

[1] Fujian Normal Univ, Dept Math, Fuzhou 350007, Peoples R China

[2] Acad Sinica, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 195卷 / 02期

关键词：

critical point theory; inverse square potential; critical Sobolev exponent;

D O I：

10.1016/S0022-0396(03)00093-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Via Linking theorem and delicate energy estimates, the existence of nontrivial solutions for a nonlinear PDE with an inverse square potential and critical sobolev exponent is proved. This result gives a partial (positive) answer to an open problem proposed in Ferrero and Gazzola (J. Differential Equations 177 (2001) 494). (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：497 / 519

页数：23

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