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R^N中—(p,q)-Laplacian拟线性椭圆方程组正解的存在性和多重性

Existence and Multiplicity of Positive Solutions for a(p,q)-Laplacian Quasilinear Elliptic System in R^N
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摘要 研究了—(p,g)-Laplacian拟线性椭圆方程组.当连续函数V和W在两种情形下利用Moser迭代技巧和Ljusternik-Schnirelmann畴数理论,建立了方程组正解的存在性和多重性结果. A class of （p, q）-Laplacian quasilinear elliptic system is studied. When the continuous function V and W satisfy both cases, existence and multiplicity of positive solutions is obtained by using Moser iteration and Ljusternik-Schnirelmann category theory.
作者 张文丽
机构地区 长治学院数学系
出处 《应用泛函分析学报》 CSCD 2014年第4期346-350,共5页 Acta Analysis Functionalis Applicata
基金 山西省高校科技研究开发项目(20111129)
关键词 正解 拟线性椭圆方程组 Moser迭代技巧 Ljusternik-Schnirelmann畴数理论 positive solution quasilinear elliptic system Moser iteration Ljusternik-Schnirelmanncategory theory
分类号 O175 [理学—基础数学]
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参考文献19

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二级参考文献18

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应用泛函分析学报
2014年 第4期

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