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一类奇异椭圆型方程变号解的存在性及非存在性 被引量：1

Existence and Nonexistence of Sign-Changing Solutions for a Singular Elliptic Problem
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摘要 考虑了一类与Caffarelli-Kohn-Nirenberg不等式有关的奇异椭圆型方程(?)利用Ljusternik-Schnirelaman理论及一个Pohozaev型恒等式,证明了上述方程变号解的存在性及非存在性. We consider the following singular elliptic equation -div（│x│-2a△u）-μμ/│x│^2bp=│u│^p-2/│x│^bp＋λu/│x│dD which involves the Caffarelli-Kohn-Nirenberg inequalities. By virtue of the Ljusternik- Schnirelaman theory and a Pohozaev-type identity, we obtain the existence and nonex istence results of sing-changing solutions for the above problem.
作者 彭艳芳 李必文
机构地区 贵州师范大学数学与计算机科学学院 湖北师范学院数统学院
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2014年第2期281-294,共14页 Acta Mathematica Sinica：Chinese Series
基金 贵州省科学技术基金资助项目(黔科合J字LKS[2013]03号)
关键词 变号解 解的存在性及非存在性 奇异性 sign-changing solution existence and nonexistence of solutions singularity
分类号 O177.23 [理学—基础数学] O175.25 [理学—基础数学]
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数学学报（中文版）
2014年 第2期

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