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具有临界带权Hardy-Sobolev指数的椭圆方程的多个正解(英文) 被引量:1

Multiple Positive Solutions for Elliptic Equations with Critical Weighted Hardy-Sobolev Exponents
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摘要 通过变分方法和一些分析技巧研究了一类具有临界带权Hardy-Sobolev指数的半线性椭圆方程正解的存在性与多解性问题. Existence and multiplicity of positive solutions are obtained for a class of semilinear elliptic equations with critical weighted Hardy-Sobolev exponents by variational methods and some analysis techniques.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第10期113-117,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(10771173 11071198)
关键词 临界带权Hardy-Sobolev指数 (PS)c条件 山路引理 正解 EKELAND变分原理 critical weighted Hardy-Sobolev exponents (PS)c condition Mountain Pass Lemma positive solution Ekeland variational principle
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  • 1CAFFARELLI L, KOHN R, NIRENBERG L. First Order Interpolation Inequality with Weights[J]. Composition Math, 1984, 53(3): 259-275. 被引量:1
  • 2CHOU K S, CHU C W. On the Best Constant for a Weighted Sobolev Hardy Inequality [J]. J London Math Soc, 1993, 48(1) :137-151. 被引量:1
  • 3JANNELLI E. The Role Played by Space Dimension in Elliptic Critical Problems [J]. J Differential Equations, 1999, 156(2) : 407-426. 被引量:1
  • 4BREZIS H, NIRENBERG L. Positive Solutions of Nonlinear Elliptic Equations Involving Critical Sobolev Exponents [J]. CommPureApplMath, 1983, 36(4): 437-477. 被引量:1
  • 5DING Ling, TANG Chun-lei. Existence and Multiplicity of Positive Solutions for a Class of Semilinear Elliptic Equations Involving Hardy Term and Hardy-Sobolev Critical Exponents [J]. J Math Anal Appl, 2008, 339(2): 1073-1083. 被引量:1
  • 6LIN Mei-lin. Some Further Results for a Class of Weighted Nonlinear Elliptic Equations [J].J Math Anal Appl, 2008, 337(1) : 537-546. 被引量:1
  • 7HUANG Li, WU Xing-ping, TANG Chun-lei. Existence and Multiplicity of Solutions for Semilinear Elliptic Equations with Critical Weighted Hardy-Sobolev Exponents [J]. Nonlinear Anal, 2009, 71(5): 1916-1924. 被引量:1
  • 8GHOUSSOUB N, YUAN C. Multiple Solutions for Quasilinear PDEs Involving the Critical Sobolev and Hardy Expo- nents[J]. Trans AmerMathSoc, 2000, 352(12): 5703-5743. 被引量:1

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