ON NEUMANN PROBLEM FOR SOME SEMILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (2): 186-196.

ON NEUMANN PROBLEM FOR SOME SEMILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS

谢资清^1,2

1. The Young Scientist Labortary of Mathematical Physics, Wuhan Institute of Mathematical Sciences, Academia Sinica Wuhan 430071, China;
2. Department of Mathematic, Hunan Normal University, Changsha 410081, China

收稿日期:1996-04-23 出版日期:1998-06-25 发布日期:1998-06-25

ON NEUMANN PROBLEM FOR SOME SEMILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS

Xie Ziqing^1,2

1. The Young Scientist Labortary of Mathematical Physics, Wuhan Institute of Mathematical Sciences, Academia Sinica Wuhan 430071, China;
2. Department of Mathematic, Hunan Normal University, Changsha 410081, China

Received:1996-04-23 Online:1998-06-25 Published:1998-06-25

摘要/Abstract

摘要： This paper is concerned with Neumann problem for semilinear elliptic equations involving Sobolev critical exponents with limit nonlinearity in boundary condition. By critical point theory and dual variational principle, the author obtains the existence and multiplicity results.

关键词: Neumann problem, semilinear elliptic equation, positive solution, multiplicity of solutions

Abstract: This paper is concerned with Neumann problem for semilinear elliptic equations involving Sobolev critical exponents with limit nonlinearity in boundary condition. By critical point theory and dual variational principle, the author obtains the existence and multiplicity results.

Key words: Neumann problem, semilinear elliptic equation, positive solution, multiplicity of solutions

谢资清. ON NEUMANN PROBLEM FOR SOME SEMILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS[J]. 数学物理学报(英文版), 1998, 18(2): 186-196.

Xie Ziqing. ON NEUMANN PROBLEM FOR SOME SEMILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS[J]. Acta mathematica scientia,Series B, 1998, 18(2): 186-196.

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ON NEUMANN PROBLEM FOR SOME SEMILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS

ON NEUMANN PROBLEM FOR SOME SEMILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS

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