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一类两相模型的导数估计 被引量：1

A Promotion of Bi-phase Model
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摘要 将一类两相模型作了一个推广.将模型中的Laplace算子换成p-Laplace算子后,研究了方程的解,得出解的一个导数估计. A promotion to a class of bi-phase model was obtained. We changed the Laplace operator to p-Laplace operator, discussed the solution to the equation, and obtained an estimate of the derivative of the solution.
作者 周斌 何丹
机构地区 湖南工学院基础课部
出处 《经济数学》 北大核心 2010年第3期24-27,共4页 Journal of Quantitative Economics
基金 湖南省教育厅(10C0586)
关键词 两相模型 p-Laplace 双井势函数 n-模解 层 bi-phase model p-Laplace double well potential equation n-mode solution layers
分类号 O175.22 [理学—基础数学]
  • 相关文献

参考文献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Cahn equation[J].JDifferential Equations,2003,191:234-276.
  • 3RABINOWITZ P H.Some global resulets for nonlinear eigenvalue problems[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
  • 5WONG FuHsiang.Uniqueness of Positive Solutions for SturmLiouville Boundary Value Problems[J].Proceedings of The American Mathematical Society,1998,126:365-374.
  • 6DAMASCELLI Lucio.Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results[J].Nonlinerar Analysis,1998,15:493-516.
  • 7GUI C.SCHATZMAN M.Symmetric quadruple phase transition[J].Indiana University Mathematical Journal,2008M,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.带双井势函数的一维p-Laplace方程解的零点分布[J].邵阳学院学报（自然科学版）,2010,7(3):6-8. 被引量：1

引证文献1

经济数学
2010年 第3期

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