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多奇异点和Sobolev临界指数椭圆方程解的存在性与多重性

Existence and Multiplicity of Positive Solutions for Semi-linear Elliptic Equations Involving Singular Points, Sobolev Critical Exponents and Non-linear Items
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摘要 用变分方法证明了一类具有多个奇异点,Sobolev临界指数和非线性项的半线性椭圆方程正解的存在性和多重性. Existence and multiplicity of positive solutions for semi-linear elliptic equations with singular points, sobolev critical exponents and non-linear items are discussed in the paper by the variational methods and some analysis techniques.
作者 丁凌 孟义杰
机构地区 襄樊学院数学系
出处 《襄樊学院学报》 2008年第5期5-9,共5页 Journal of Xiangfan University
基金 湖北省教育厅青年人才项目(Q20082502)
关键词 SOBOLEV临界指数 奇异点 椭圆方程 (PS)条件 Sobolev critical exponents Singular point Elliptic equations (PS) Conditions
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参考文献6

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