期刊文献+

半空间上Robin边值问题正解的存在性

Existence of Positive Solutions for the Problem with Robin Boundary Value Condition in Half Space
下载PDF
导出
摘要 运用变分方法和没有ps条件的山路引理,借助半线性椭圆方程基态解的指数衰减性质,研究了半空间上带有Robin边值条件的半线性椭圆方程正解的存在性对参数λ的依赖关系。 By using variational method,Mountain-Pass theorem without ps conditions and exponential decay properties of ground states for elliptic equations in whole space,the paper investigates the relations between the parameters λ and existence of positive solutions for the problem with Robin boundary value condition in half space.
作者 宋爱丽
出处 《江南大学学报(自然科学版)》 CAS 2010年第6期711-714,共4页 Joural of Jiangnan University (Natural Science Edition) 
基金 国家自然科学基金项目(10471052)
关键词 Robin边值条件 正解 存在性 Robin boundary value condition positive solutions existence
  • 相关文献

参考文献7

  • 1Berstycki H,WEI J C.On singular perturbation problems with robin boundary condition[J].Ann Scuola Norm Sup Piss CI Sci,2003,II(5):199-230.
  • 2Gidas B,NI W M,Nirenberg L.Symmetry of positive solutions of nonlinear elliptic equations in Rn[J].Mathematical analysis and applications,1981,Part A:369-402.
  • 3LI Y.Asympotic behavior of positive solutions Δu+k(x)u^p=0 in R^n[J].J Differential Equations,1992,95(2):304-330.
  • 4Garder R.The set of positive solutions of semilinear equations in large balls[J].P roceeding of Royal Society of Edinburgh,1996,104A:53.
  • 5Serrin J,TANG M.Uniqueness of ground states for quasilinear elliptic equations.Indiana Univ[J].Math J.2000,49(3):897-923.
  • 6Brezis H,Lieb E.A relation between pointwise convergence of function and convergence of functional[J].Proc Amer Math Soc,1993,88:486-490.
  • 7Susanna Terracini.Symmetry properties of positive solutions of semilinear equations in large balls[J].Proceeding of Royal society of Edinburgh,1996,104 A:72.

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