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含有Sobolev-Hardy临界指数的拟线性椭圆方程解的存在性和多重性 被引量：1

EXISTENCE AND MULTIPLICITY RESULTS FOR SOME QUASILINEAR ELLIPTIC EQUATION WITH CRITICAL SOBOLEV-HARDY EXPONENT
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摘要 本文研究了一类含有Sobolev-Hardy临界指数的拟线性奇异椭圆方程解的存在性和多重性.利用Ekeland变分原理和Clark临界点定理证明了该问题非平凡解和无穷多解的存在性,推广了已有结果. This paper concerns the existence and multiplicity of solutions for some quasilinear elliptic equation with critical Sobolev-Hardy exponent. By using Ekeland;s variational principle, we conclude the existence of nontrivial solution for this problem. The Clark＇s critical point theorem is used to prove the existence of infinitely many solutions for this problem with odd nonlinearity.
作者 龚亚英
机构地区 重庆三峡职业学院基础部
出处 《数学杂志》 CSCD 北大核心 2009年第4期500-504,共5页 Journal of Mathematics
关键词 SOBOLEV-HARDY临界指数 拟线性椭圆方程 亏格 Brezis—Lieb引理 Critical Sobolev-Hardy exponent quasilinear elliptic equation genus Brezis-Lieb lemma
分类号 O175.25 [理学—基础数学]
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参考文献16

  • 1Cao Daomin, Han Pigong. Solutions for semilinear elliptic equations with critical exponents and Hardy potential[J]. J. Differential Equations, 2004,2005 (2) : 521-537.
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二级参考文献16

  • 1CAO Dao-min,HAN Pi-gong.Solutions for semilinear elliptic equations with critical exponents and Hardy potential[J].J Differential Equations,2004,205(2):521-537.
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数学杂志
2009年 第4期

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