期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

带Robin边值条件的半线性奇异椭圆方程正解的存在性(英文) 被引量：2

EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR SEMILINEAR ELLIPTIC EQUATIONS WITH ROBIN BOUNDARY CONDITIONS
下载PDF
导出
摘要 本文研究了一类带Robin边值条件的半线性奇异椭圆方程.通过Hardy不等式,山路引理以及选取适当的试验函数验证局部PS条件,得到了此类方程正解的存在性这一结果. In this paper, we investigate a class of semilinear singular elliptic equations with Robin boundary conditions. By Hardy inequality, Mountain-Pass Theorem and chosing a test function to verify local PS conditions, we obtain the existence of positive solutions of such equations.
作者 金玲玉 麦麦提明阿不都克里木
机构地区 华南农业大学理学院 喀什师范学院数理系
出处 《数学杂志》 CSCD 北大核心 2008年第5期473-482,共10页 Journal of Mathematics
基金 the Natural Science Foundation of China (10171036)
关键词 正解 紧性 临界Sobolev—Hardy指数 HARDY不等式 椭圆方程 positive solutions compactness critical Sobolev-Hardy exponent Hardy inequality elliptic equation
分类号 O175.25 [理学—基础数学]
  • 相关文献

参考文献13

  • 1Garcia Azorero J.P., Alonso I. P.. Hardy inequalities and some critical elliptic and parabolic problems[J]. J. Differential Equations, 1998,144: 441-476.
  • 2Adimurthi, Mancini G. , Yadava S. L.. The role of the mean curvature in semilinear Neumann problem involving critical exponent[J]. Comm. Partial Differential Equations, 1995,20:591-631.
  • 3Admimurthi, Pacella F., Yadava S. L.. Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with nonlinearity[J]. J. Funct. Anal. 1993,113: 318-350.
  • 4Brezis H. , Nirenberg L.. Positive solutions of nonlinear elliptic equations involving critical Sobolev exponent[J]. Comm. Pure Appl. Math. ,1983,36:437-478.
  • 5Caldiroli P., Malchiodi A.. Singular elliptic problems with critical growth [J]. Comm. Partial Differential Equations, 2002,27 : 846-847.
  • 6Caldiroli P. , Musina R.. On the existence of extremal functions for weighted Sobolev embedding with critical exponent[J]. Cal. Var. PDE. , 1999,27: 365-387.
  • 7Cao Daomin, Peng Shuangiie. A global compactness result for singular elliptic problems involving critical Sobolev exponent[J]. Proc. Amer. Math. Soc. , 2003,131: 1857-1866.
  • 8Chabrowski J. , Willem M.. Least energy solutions of a critical Neumann problem with a weight [J]. Cal. Var. 2002,15:421-431.
  • 9Ghoussoub N. , Yuan C. , Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents[J]. Trans. Amer. Math. Soc. ,2000,352:5703-5743.
  • 10Kang Dongsheng, Deng Yinbin. Existence of solution for a singular critical elliptic equation [J]. Journal of Mathematical Analysis and Applications,2003,284: 724-732.

同被引文献9

  • 1Jannelli E. The role played by space dimension in elliptic critical problems [J]. J. Di?erential Equations,1999,156: 407-426.
  • 2Cao Daomin,Peng Shuangjie. A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms [J]. J. Di?erential Equations,2003,193: 424-434.
  • 3Dao Daomin,Han Pigong. Solutions for semilinear elliptic equations with critical exponents and Hardy potential [J]. J. Di?erential Equations,2004 205: 521-537.
  • 4Ferrero A,Gazzola F. Existence of solutions for singular critical growth semilinear elliptic equations [J]. J. Di?erential Equations,2001,177: 494-522.
  • 5Kang Dongsheng,Peng Shuangjie. Positive solutions for a singular critical elliptic problem [J]. Applied Mathematics Letters,2004,17: 411-416.
  • 6Alves C O,Filho D C de M,Souto M A S. On systems of elliptic equations involving subcritical or critical Sobolev exponents [J]. Nonlinear Analysis,2000,42: 771-787.
  • 7Liu Zhaoxia,Han Pigong. Existence of solutions for singular elliptic systems with critical exponents [J]. Nonlinear Analysis,2008,69: 2968-2983.
  • 8康东升,黄燕,刘殊.一类拟线性椭圆问题极值函数的渐近估计[J].中南民族大学学报（自然科学版）,2008,27(3):91-95. 被引量：9
  • 9龚亚英.一类拟线性奇异椭圆方程无穷多解的存在性[J].数学杂志,2010,30(4):726-730. 被引量：2

引证文献2

数学杂志
2008年 第5期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部