期刊文献+

带双井势函数的一维p-Laplace方程解的零点分布 被引量:1

The Distribution of the Zeros of the Solution to A Class of One-Dimensional p-Laplace Equation with Double Well Potential
下载PDF
导出
摘要 本文研究了一类带双井势函数的一维方程解,并得出解的零点分布状态. n this paper we focus on the problem of the distribution of the zeros of the solution to a class of one-dimensional p-Laplace equation with double well potential,and obtain an estimate of the derivative of the solution.
作者 周斌 何丹
出处 《邵阳学院学报(自然科学版)》 2010年第3期6-8,共3页 Journal of Shaoyang University:Natural Science Edition
基金 湖南省教育厅科研课题(10C0586)
关键词 p-Laplace 双井势函数 n-模解 零点分布. p-Laplace double well potential equation n-mode solution layers distribution of the zeros.
  • 相关文献

参考文献7

  • 1K.Nakashima.Stable transition layers in a balanced bistable equation[J].Differential and Integral Equations,2000,13:1025-1038.
  • 2K.Nakashima.Multi-layered stationary solutions for a spatially inhomogeneors Allen-Cahn equation[J].J-Differential Equations,2003,191:234-276.
  • 3P.H Ra binowitz.Some global resulets for nonlinear eigenvalue problems[J].J.Funct.Anal.,1971,7:487-513.
  • 4周斌,何丹.带双井势函数的一维p-Laplace方程解的性态[J].吉首大学学报(自然科学版),2010,31(3):21-23. 被引量:2
  • 5Fu-Hsiang Wong.Uniqueness of Positive Solutions for Sturm-Liouville Boundary Value Problems[J].J-Proceedings of The American Mathematical Society,1998,126:365-374.
  • 6Lucio Damascelli.Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results[J].Nonlinerar Analysis,1998,15:493-516.
  • 7C.Gui,M.Schatzman.Symmetric quadruple phase transition[J].Indiana University Mathematical Journal,2008,57:781-836.

二级参考文献6

  • 1Rabinowitz P H.Some global results for nonlinear eigenvalue problems[].Journal of Functional Analysis.1971
  • 2Nakashima K.Stable transition layers in a balanced bistable equation[].Di?erentialand Intgral Equations.2000
  • 3Kimie Nakashima.Multi-layered stationary solutions for a spatially inhomogeneous Allen–Cahn equation[].Journal of Differential Equations.2003
  • 4Wong F H.Uniqueness of positive solutions for Sturm-Liouville boundary value problems[].Proceedings of the American Mathematical Society.1998
  • 5Damascelli L.Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results[].Annales de l Institut Henri Poincar.1998
  • 6Gui C,Schatzman M.Symmetric quadruple phase transition[].Indiana UniversityMathematical Journal.2008

共引文献1

同被引文献7

  • 1Nakashima K.Stable transition layers in a balanced bistable equation[J].Differential and Integral Equations,2000,13:1025-1038.
  • 2Nakashima K.Multi-layered stationary solutions for a spatially inhomogeneors Allen-Calm equation[J].J-Differential Equations,2003,191:234-276.
  • 3Wong Fu-Hsiang.Uniqueness of Positive Solutions for Sturm-Liouville Boundary Value Problems[J].Proceedings of The American Mathematical Society,1998,126:365-374.
  • 4Lucio Damascelli.Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results[J].Nonlinerar Analysis,1998,15:493-516.
  • 5Gui C,Schatzman M.Symmetric quadruple phase transition[J].Indiana University Mathematical Journal,2008,57:781-836.
  • 6Rabinowitz P H.Some global resulets for nonlinear eigenvalue problems[J].J Funct Anal,1971,7:487-513.
  • 7周斌,何丹.一类两相模型的导数估计[J].经济数学,2010,27(3):24-27. 被引量:1

引证文献1

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