Compact embeddings and indefinite semilinear elliptic problems

被引：8

作者：

Schneider, M ^{[1
]}

机构：

[1] Univ Mainz, Fachbereich Math, D-55099 Mainz, Germany

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 02期

关键词：

compact embeddings; concentration compactness; Emden Fowler; indefinite nonlinearities;

D O I：

10.1016/S0362-546X(01)00831-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The compact embeddings and indefinite semilinear elliptic problems were discussed. The weak nonnegative solutions of Emden-Fowler type problems were found. The results were generalized to the sign-changing and non-radial functions and the results showed that the weak solutions of the Emden-Fowler type problems correspond to nonnegative critical points of the associated energy functional.

引用

页码：283 / 303

页数：21

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