A MINIMIZATION PROBLEM ON RN WITH NONZERO DATA

数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (S1): 16-31.

A MINIMIZATION PROBLEM ON R^N WITH NONZERO DATA

严树森¹, 张正杰²

1. Dept. of Appl. Math., South China University of Technology, Guangzhou 510641, China;
2. Wuhan Iust. of Math. Sci., Academia Sinica, Wuhan 430071, China

收稿日期:1992-03-17 出版日期:1995-12-31 发布日期:1995-12-31
基金资助:
Supported by Youth Fundation NSFC.

A MINIMIZATION PROBLEM ON R^N WITH NONZERO DATA

Yan Shusen¹, Zhang Zhengjie²

1. Dept. of Appl. Math., South China University of Technology, Guangzhou 510641, China;
2. Wuhan Iust. of Math. Sci., Academia Sinica, Wuhan 430071, China

Received:1992-03-17 Online:1995-12-31 Published:1995-12-31
Supported by:
Supported by Youth Fundation NSFC.

摘要/Abstract

摘要： We first establish a general framework to study a minimization problem on R^N with nonzero data. Then, we use this framework to solve the eigenvalue problem associated with this minimization problem. And finally, we check the crucial strict inequality S₁ in the general framework for a topical case.

关键词: Concentration compactness, Unbounded domain

Abstract: We first establish a general framework to study a minimization problem on R^N with nonzero data. Then, we use this framework to solve the eigenvalue problem associated with this minimization problem. And finally, we check the crucial strict inequality S₁ in the general framework for a topical case.

Key words: Concentration compactness, Unbounded domain

严树森, 张正杰. A MINIMIZATION PROBLEM ON R^N WITH NONZERO DATA[J]. 数学物理学报(英文版), 1995, 15(S1): 16-31.

Yan Shusen, Zhang Zhengjie. A MINIMIZATION PROBLEM ON R^N WITH NONZERO DATA[J]. Acta mathematica scientia,Series B, 1995, 15(S1): 16-31.

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A MINIMIZATION PROBLEM ON R^N WITH NONZERO DATA

A MINIMIZATION PROBLEM ON R^N WITH NONZERO DATA

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