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一类渐近线性Neumann问题正解的存在性 被引量：2

Existence of positive solutions for asymptotically linear Neumann problem
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摘要 利用变分法获得了一类渐近线性N eum ann问题正解的存在性结果. By using variational methods, the existence of positive solution is obtained for a class of asymptotically linear Neumann problem.
作者 裴瑞昌 何万生 马草川
机构地区 天水师范学院数理与信息科学学院
出处 《纯粹数学与应用数学》 CSCD 北大核心 2006年第1期51-55,共5页 Pure and Applied Mathematics
基金 国家自然科学基金资助项目(10171040)
关键词 正解 渐近线性Neumann问题 变分法 positive solution, asymptotically linear, Neumann problem, variational method
分类号 O175.23 [理学—基础数学]
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参考文献8

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同被引文献11

  • 1Pohozaev S. Eigenfunctions of the equation[J]. Soviet Math.Dokl., 1965, 6:1408-1411.
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  • 3Mcgough J, Schmitt K. Applications of variational identity to quasilinear elliptic differential equations[J]. Mathematical and computer modeling, 2000,32:661-673.
  • 4Mitidieri Enzo. A Rellich Type Identity and Applications[J]. Commun. In Partial Differential Equations, 1993, 18: 125-151.
  • 5邓耀华 沈尧天 顾永耕 等.半线性高阶椭圆型方程非平凡解的存在与不存在性.系统科学与数学,1986,6:90-100.
  • 6Dancer E N, Zhang K W. Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains[J]. Nonlinear analysis, 2000, 41:745-761.
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  • 8Reichel W. Uniqueness Theorems for Variational Problems by the Method of Transformation Groups[M]. Berlin: Springer-verlag Press, 2004.
  • 9Wagner Alfred. Pohozaev's identity from a variational viewpoint[J]. Journal of Mathematical Analysis and Applications, 2002, 266:149-159.
  • 10Olver P J. Applications of Lie Groups to Differential Equations[M]. New York: springer-verlag Press, 1993.

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纯粹数学与应用数学
2006年 第1期

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