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环域上p-Ginzburg-Landau泛函的径向极小元的唯一性与正则化 被引量：1

Uniqueness and Regularization of Radial Minimizer of a Ginzburg-Landau Functional in an Annular Domain
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摘要 研究了p-Ginzburg-Landau型泛函的径向极小元在环域上的极限行为,鉴于极小元于环域内无零点,证明了极小元的唯一性与正则化. This paper is concerned with the asymptotic behavior of a radial minimizer of a p-Ginzburg-Landau type functional on an annular domain. Based on the nonexistence of the zero of the radial minimizer in this annular domain, the author discusses the uniqueness of the radial minimizers.
作者 蔡宇泽
机构地区 沙洲职业工学院基础科学系
出处 《常熟理工学院学报》 2011年第2期20-22,34,共4页 Journal of Changshu Institute of Technology
基金 江苏省高校自然科学基金(06KJB110056)资助项目
关键词 径向极小元 p-Ginzburg-Landau型泛函 极限行为 radial minimizer p-Ginzburg-Landau functional asymptotic behavior
分类号 O175.2 [理学—基础数学]
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参考文献8

  • 1Bethuel F,Brezis H,Helein F.Ginzburg-Landau Vortices[M].Boston:Birkhauser,1994.
  • 2Struwe M.On the asymptotic behaviour of minimizers of the Ginzburg-Landau model in 2 dimensions[J].Diff and Inter Eqns,1994,7:1613-1624.
  • 3Andre N,Shafrir I.Minimization of a Ginzburg-Landau type functional with nonvanishing Dirichlet boundary condition[J].Calc Var PDE,1998,7:191-217.
  • 4Herve R M,Herve M.Etude qualitative des solutions reells d'une equation differentielleliee a l'equation de Ginzburg-Landau[J].Ann IHP Anal nonline,1994,11:427-440.
  • 5Mironescu P.On the stability of radial solution of the Ginzburg-Landau equation[J].J Functional Analysis,1995,130:334-344.
  • 6Golovaty D,Berlyand L.On uniquensess of vector-value minimizers of the Ginzburg-Landau functional in annular domains[J].Calc Var PDE,2002,14:213-232.
  • 7蔡宇泽,雷雨田.环域上p-Ginzburg-Landau泛函的径向极小元[J].吉林大学学报（理学版）,2009,47(4):683-690. 被引量：2
  • 8Tolksdorf P.Everyuhere regularity for some quasilinear systems with a lake of ellipticity[J].Anna Path Pura Apple,1983,134.

二级参考文献2

  • 1Dmitry Golovaty,Leonid Berlyand. On uniqueness of vector-valued minimizers of the Ginzburg-Landau functional in annular domains[J] 2002,Calculus of Variations and Partial Differential Equations(2):213～232
  • 2Nelly André,Itai Shafrir. Minimization of a Ginzburg-Landau type functional with nonvanishing Dirichlet boundary condition[J] 1998,Calculus of Variations and Partial Differential Equations(3):191～217

共引文献1

同被引文献5

  • 1LEI Yu-tian. Radial Minimizer of a Ginzburg-Landau functional with Nonvanishing Dirichlet Boundary Condition [J]. Nonlinear Anal, 2005, 60( 1 ):117-128.
  • 2LEI Yu-tian. Radial Minimizer of a Ginzburg-Landau Type with p ∈ (n - 1, n) [J]. Nonlinear Anal, 2008, 69( 12): 4534-4549.
  • 3LEI Yu-tian. Asymptotic estimation for a p-Ginzburg-Landau type minimizer in higher dimensions[J]. Pacific J Math, 2006, 226: 103-135.
  • 4LEI Yu-tian. Asymptotic estimations for a p-Ginzburg-Landau type mini-mizer[J]. Math Nachr, 2007, 280: 1559-1576.
  • 5蔡宇泽,雷雨田.环域上p-Ginzburg-Landau泛函的径向极小元[J].吉林大学学报（理学版）,2009,47(4):683-690. 被引量：2

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二级引证文献1

常熟理工学院学报
2011年 第2期

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