含有Hardy-Sobolev临界指标的拟线性方程组多解的证明

Quasilinear Systems Involving Critical Hardy-Sobolev Exponents and Potentials

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摘要研究了一类含有Hardy-Sobolev临界指标权函数的拟线性方程组,运用最佳Sobolev常数和Nehari流形等变分方法证明在一定条件下椭圆方程组正解的存在性以及多重性。 This paper explored a class of quasilinear elliptic systems involving critical Hardy–Sobolev exponents and potentials.By using the extremals of the best Sobolev constants and extracting the Palais–Smale sequence in Nehari manifold,the existence and multiplicity of positive solutions to the systems were established.

作者王莉

机构地区华东交通大学基础科学学院

出处《华东交通大学学报》 2013年第2期63-70,共8页 Journal of East China Jiaotong University

基金国家自然科学基金项目(11071094) 江西省教育厅科学技术研究项目(GJJ13311)

关键词拟线性椭圆方程组临界指数多解 quasilinear elliptic system critical exponent multiple solutions

分类号 O175.25 [理学—基础数学]

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华东交通大学学报

2013年第2期

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含有Hardy-Sobolev临界指标的拟线性方程组多解的证明

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