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Profile and multiplicity of solutions of nonlinear differential equations

Profile and multiplicity of solutions of nonlinear differential equations
非线性微分方程解的轮廓和重数
批准号:
22540177
负责人:
HIRANO Norimichi
金额:
$2.25万
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
2010
资助国家:
日本
项目状态:
已结题
起止时间:
2010-04-01 至 2014-03-31

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中文摘要
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英文摘要
In this research, I investigated the existence and multiplicity of the solutions of nonlinear elliptic problems defined on domains which have holes, and showed some properties of solutions. On the other hand, we established the existence of solutions of nonlinear Schrodinger equations defined on Reimannian manifolds and showed the relation between the Ricci curvature and the multiplicity of solutions.
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Multiple existence of solutions for a nonhomogeneous elliptic problem on $¥Bbb R¥sp N$RN
$Bbb Rsp N$RN 上非齐次椭圆问题解的多重存在性
DOI: --
发表时间: 2011
期刊: Nonlinear Anal.
影响因子: --
作者: [Hirano, Norimichi]
通讯作者: Norimichi
Bifurcations of nonconstant solutions of the Ginzburg-Landau equation
Ginzburg-Landau 方程非常数解的分岔
DOI: --
发表时间: 2012
期刊: Abstr. Appl. Anal.
影响因子: --
作者: [Hirano, Norimichi; Rybicki, Sławomir]
通讯作者: Sławomir
DOI: --
发表时间: 2011
期刊: J. Funct. Anal.
影响因子: --
作者: [Hirano, Norimichi; Shioji, Naoki]
通讯作者: Naoki
A remark on global bifurcations of solutions of Ginzburg–Landau equation
关于Ginzburg-Landau方程解的全局分岔的评述
DOI: 10.1016/j.nonrwa.2011.04.006
发表时间: 2011
期刊: Nonlinear Analysis-real World Applications
影响因子: 2
作者: [N. Hirano, S. Rybicki]
通讯作者: S. Rybicki
9
    Multiplcitiy and Dynamics of solutions of nonlinear differential equations
    • 批准号:
      18540163
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.32万
    • 财政年份:
      2006
    • 负责人:
      HIRANO Norimichi
    • 依托单位:
    Multiplicity and dynamics of solutions of nonlinear differential equations
    • 批准号:
      14540159
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.18万
    • 财政年份:
      2002
    • 负责人:
      HIRANO Norimichi
    • 依托单位:
    海外基金