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.
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收藏
页码：497 / 519
页数：23
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