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一类含临界指数与Hardy项椭圆方程非平凡解的存在性

Existence of Nontrivial Solutions for an Elliptic Equations with Critical Exponents and Hardy Terms
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摘要 研究了一类含Sobolev-Hardy临界指数与Hardy项的椭圆方程,通过证明局部(P.S.)条件和能量估计,运用山路引理得到了这类方程非平凡解的存在性. An elliptic equations with Sobolev-Hardy critical exponents is studied. With the mountain pass lemma, the existence of nontrivial solutions are obtained by proving local （P. S. ） condition and energy estimation.
作者 吕登峰
机构地区 孝感学院数学系 湖北孝感
出处 《云南民族大学学报（自然科学版）》 CAS 2007年第4期306-310,共5页 Journal of Yunnan Minzu University:Natural Sciences Edition
关键词 非平凡解 Sobolev—Hardy临界指数 Hardy项 椭圆方程 nontrivial solutions Sobolev-Hardy critical exponents Hardy terms elliptic equations
分类号 O175.25 [理学—基础数学]
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参考文献5

  • 1YANG Minbo,SHEN Zifei.Multiple Nontrivial Solutions for Semilinear Eniptle Equations with Hardy-Sobolev Cfifical Exponent.Aeta Mathematica Sinica[J].Chinese series,2006,49:819-826.
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  • 3康东升.一种奇异临界椭圆方程的非平凡解[J].数学物理学报（A辑）,2006,26(5):716-720. 被引量：5
  • 4金玲玉.带Robin边值条件的半线性奇异椭圆方程的正解的存在性[D].武汉:华中师范大学数学与统计学院论文集,2004.
  • 5BREZIE H,LIEB E.A Relation Between Pointwise Convergence of Functions and Convergence of Integrals[J].Proc Amer Math Soc,1983,88:486-490

二级参考文献9

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共引文献4

云南民族大学学报（自然科学版）
2007年 第4期

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