基于Nehari等变分法的拟线性方程组多重正解的证明

The Existence of Multiple Solutions of Quasilinear Systems on Nehari Manifold

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摘要研究了含有权函数和Hardy-Sobolev临界指标的拟线性方程组,运用Nehari等变分法,证明在一定条件下椭圆方程组正解的存在性以及多重性. The present paper studied a class of quasilinear systems invovling Hardy-Sobolev citical exponent. Applying Nehari manifold method, we get the existence of multiple positive solutions.

作者朱祥和王莉

机构地区华中科技大学武昌分校基础科学部华东交通大学基础科学学院

出处《数学的实践与认识》 CSCD 北大核心 2014年第6期194-202,共9页 Mathematics in Practice and Theory

基金国家自然科学基金天元基金(11326139)

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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参考文献7

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数学的实践与认识

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基于Nehari等变分法的拟线性方程组多重正解的证明

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