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2009 Fiscal Year Final Research Report

Multiplcitiy and Dynamics of solutions of nonlinear differential equations

Research Project

  • PDF
Project/Area Number 18540163
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionYokohama National University

Principal Investigator

HIRANO Norimichi  Yokohama National University, 環境情報研究院, 教授 (80134815)

Co-Investigator(Kenkyū-buntansha) SHIOJI Naoki  横浜国立大学, 環境情報研究院, 准教授 (50215943)
TAMANO Kenichi  横浜国立大学, 工学研究院, 教授 (90171892)
NAITO Koichiro  熊本大学, 工学部, 教授 (10164104)
KOMIYA Hidetoshi  慶応大学, 商学部, 教授 (90153676)
Project Period (FY) 2006 – 2009
Keywords変分法 / カオス / 位相的アプローチ
Research Abstract

楕円型方程式のうち、非線形シュレジンガー方程式およびHennon方程式に対して、解の多重性と解のプロフィールを示すことができた。また、シンメトリーを持つような方程式を扱うための道具として、Equivariant degreeの理論の深化に成果をあげた。

  • Research Products

    (10 results)

All 2009 2008 2007 2006

All Journal Article (10 results) (of which Peer Reviewed: 9 results)

  • [Journal Article] Existence of positive solutions for the Henon equation involving critical Sobolev terms2009

    • Author(s)
      Hirano, Norimichi
    • Journal Title

      J. Differential Equations 247,no.5

      Pages: 1311-1333

    • Peer Reviewed
  • [Journal Article] Multiple existence of nonradial positive solutions for a coupled nonlinear Schrodinger system.2009

    • Author(s)
      Hirano, Norimichi
    • Journal Title

      NoDEA Nonlinear Differential Equations Appl 16,no.2

      Pages: 159-188

    • Peer Reviewed
  • [Journal Article] Multiple existence of solutions for a nonlinear elliptic problem on a Riemannian manifold.2009

    • Author(s)
      Hirano, Norimichi
    • Journal Title

      Nonlinear Anal. 70,no.2

      Pages: 671-692

    • Peer Reviewed
  • [Journal Article] Existence of multiple positive solutions for a nonlinear elliptic problem with the critical exponent and a Hardy term.2008

    • Author(s)
      Hirano, Norimichi ; Shioji, Naoki
    • Journal Title

      Differential Integral Equatons 21,no.9-10

      Pages: 971-980

    • Peer Reviewed
  • [Journal Article] Existence of non-positive solutions for a nonhomogeneous elliptic problem on $\Bbb R\sp N$.2008

    • Author(s)
      Hirano, Norimichi; Micheletti, Anna Maria; Pistoia, Angela
    • Journal Title

      J. Nonlinear Convex Anal. 9,no.9-10

      Pages: 309-329

  • [Journal Article] Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem.2008

    • Author(s)
      Hirano, Norimichi ; Saccon, Claudio ; Shioji, Naoki
    • Journal Title

      J. Differential Equations 245,no.8

      Pages: 1997-2037

    • Peer Reviewed
  • [Journal Article] Multiple existence of sign changing solutions for a nonlinear elliptic problem.2008

    • Author(s)
      Hirano, Norimichi
    • Journal Title

      Nonlinear Anal 68,no.5

      Pages: 1043-1063

    • Peer Reviewed
  • [Journal Article] A multiplicity result including a sign-changing solution for an inhomogeneous Neumann problem with critical exponent.2007

    • Author(s)
      Hirano, Norimichi ; Shioji, Naoki
    • Journal Title

      Proc. Roy. Soc. Edinburgh Sect. A137,no.5

      Pages: 333-347

    • Peer Reviewed
  • [Journal Article] A multiplicity result including sign-changing solutions for a nonlinear elliptic problem in $\bold R\sp N$.2007

    • Author(s)
      Hirano, Norimichi ; Shioji, Naoki
    • Journal Title

      Adv. Nonlinear Stud 7,no.5

      Pages: 513-532

    • Peer Reviewed
  • [Journal Article] Multiple existence of solutions for a nonhomogeneous elliptic problem with critical exponent on $\Bbb R\sp N$.2006

    • Author(s)
      Hirano, N. ; Micheletti, Anna Maria ; Pistoia, Angela
    • Journal Title

      Nonlinear Anal 65,no.3

      Pages: 501-513

    • Peer Reviewed

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Published: 2011-06-18   Modified: 2016-04-21  

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