期刊文献+

A SOBOLEV-HARDY INEQUALITY WITH APPLICATION TO A NONLINEAR ELLIPTIC EQUATION

A SOBOLEV-HARDY INEQUALITY WITH APPLICATION TO A NONLINEAR ELLIPTIC EQUATION
原文传递
导出
摘要 In this paper, when μ 〈 1/4, and 2 〈 q 〈 2(3- σ),0 ≤ σ ≤ 2 we discuss the existence of the solution for a nonlinear elliptic equation by an improved Sobolev-Hardy inequality. We also proved that the constant is optimal in the improved Sobolev-Hardy inequality. We also prove that the problem has no nontrivial solution when │y│ 〈 R, μ 〉 0 and q = 2(3- σ), the method is coming from the idea of Pohozaev. In this paper, when μ 〈 1/4, and 2 〈 q 〈 2(3- σ),0 ≤ σ ≤ 2 we discuss the existence of the solution for a nonlinear elliptic equation by an improved Sobolev-Hardy inequality. We also proved that the constant is optimal in the improved Sobolev-Hardy inequality. We also prove that the problem has no nontrivial solution when │y│ 〈 R, μ 〉 0 and q = 2(3- σ), the method is coming from the idea of Pohozaev.
出处 《Annals of Differential Equations》 2006年第1期69-74,共6页 微分方程年刊(英文版)
基金 Supported by NSFC (10171032).
关键词 elliptic equation Sobolev-Hardy inequality critical singularity Mountain Pass Theorem elliptic equation Sobolev-Hardy inequality critical singularity Mountain Pass Theorem
  • 相关文献

参考文献2

  • 1Marino Badiale,Gabriella Tarantello.A Sobolev-Hardy Inequality with?Applications to a Nonlinear Elliptic Equation?arising in Astrophysics[J].Archive for Rational Mechanics and Analysis.2002(4)
  • 2D. G. Figueiredo,O. H. Miyagaki,B. Ruf.Elliptic equations in R2 with nonlinearities in the critical growth range[J].Calculus of Variations and Partial Differential Equations.1995(2)

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