Positive solutions to perturbed elliptic problems in RN involving critical Sobolev exponent

被引：12

作者：

Cingolani, S ^{[1
]}

机构：

[1] Politecn Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 48卷 / 08期

关键词：

elliptic problem; critical sobolev exponent; pertubation method; anisotropic problem;

D O I：

10.1016/S0362-546X(00)00245-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of positive solutions of the critical elliptic problem involving critical Sobolev exponent was studied. The equation was studied and a perturbative approach was applied which relied on the suitable use of an abstract perturbation method. The results were obtained by analysis of the continuity of the coefficients bi,j(x) and by applying dominated convergence theorem.

引用

页码：1165 / 1178

页数：14

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