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.
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页码：283 / 303
页数：21
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