Existence of Solution of Second-order Nonautonomous Equations with (q,p) -Laplacian

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Existence of Solution of Second-order Nonautonomous Equations with (q,p) -Laplacian

更新时间：2023-12-11

- Existence of Solution of Second-order Nonautonomous Equations with (q,p) -Laplacian
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 52, Issue 3, Pages: 45-47(2013)
- 作者机构：
  
  河海大学理学院,江苏,南京,211100
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013，
  
  Published Online：25 May 2013，
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CUI Debiao. Existence of Solution of Second-order Nonautonomous Equations with (q,p) -Laplacian. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(3):45-47(2013)
DOI：

CUI Debiao. Existence of Solution of Second-order Nonautonomous Equations with (q,p) -Laplacian. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(3):45-47(2013) DOI：

摘要

主要讨论了二阶非自治(q

p)－Laplace方程组解的存在性。借助一个新的条件，可以说明二阶非自治(q

p)－Laplace方程组相应的泛函满足PS条件，得到二阶非自治(q

p)－Laplace方程组解的一些存在性定理

最后借助鞍点定理给予证明。

Abstract

The existence of solution of second-order nonautonomous equations with (

) Laplacian is discussed. Under the new condition

it is well known that second-order nonautonomous equations with (

)Laplacian corresponds to functional satisfies PS condition. Some existence theorems of unique solution of second-order nonautonomous equations with (

)Laplacian are obtained by using the saddle point theorem.

关键词

PS条件鞍点定理次凸的惟一解

Keywords

PS conditionsaddle point theoremsecond-convexunique solution

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