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FUKAGAI Nobuyoshi  深貝 暢良

ORCIDConnect your ORCID iD *help
… Alternative Names

FUKAGAI Yoshinobu  深貝 良暢

深貝 暢良  フカカ゛イ ノブヨシ

深具 暢良  フカカ゛イ ノブヨシ

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Researcher Number 90175563
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2012: 徳島大学, ソシオテクノサイエンス研究部, 准教授
2007: Tokushima University, Faculty of Engineering, Associate Professor
2007: 徳島大学, 工学部, 准教授
2006: The University of Tokushima, Institute of Technology and Science, Associate Professor, ソシオテクノサイエンス研究部, 助教授
2006: 徳島大学, 大学院ソシオテクノサイエンス研究部, 助教授 … More
1997 – 2006: 徳島大学, 工学部, 助教授
2001: Tokushima University, Faculty of Engineering, Associate Professor, 学校教育学部, 教授
1998: 徳島大学, 工学部, 教授
1989 – 1995: 徳島大学, 工学部, 助教授
1988: 徳島大学工学部, 講師
1986: 広島大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
解析学 / Global analysis / Global analysis
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Global analysis / Global analysis
Keywords
Principal Investigator
quasilinear / 準線形 / 楕円型 / concentration-compactness / eigenvalue problems / bifurcation / weak solutions / qualitative theory / differential equations / elliptic … More / nonlinear / 固有値問題 / 分岐 / 弱解 / 定性理論 / 微分方程式 / 非線形 / Orlicz-Sobolev space / Orlicz space / Sobolev's exponent / positive solution / variational method / elliptic equation / concentration-campactness / Orlicz-Sobolev空間 / Orlicz空間 / Sobolevの臨界指数 / 正値解の存在 / 変分法 / 楕円型方程式 / 非線型 / 楕円形 / 数理モデル / 弾性膜 / 非線形方程式 … More
Except Principal Investigator
p-Laplacian / concentration-compactness / quasilinear elliptic equation / 準線形楕円型方程式 / 正値解 / limit eigenvalue problem / 分岐理論 / p-ラプラシアン / Orlicz-Sobolev空間 / 準周期解 / 数値解析 / 常微分方程式 / Orlicz-Sobolev space / 変分不等式 / 変分方程式 / mountain-pass solution / multiple positive solution / bifurcation / 比較定理 / blow up / delay differential equation / degenerate elliptic equation / bifurcation theory / 準線形退化型楕円型方程式 / 極限固有値問題 / 非線形振動 / 常微分方程式の数値解析 / 概周期解 / 変分問題 / ルンゲ・クッタ法 / 初期値問題 / biburcation theory / p(x)-Lanlacian / positive solution / variational inequatlity / anisotropic differential equation / 非等方方程式 / p(x)-ラプラシアン / 非等方微分方程式 / variational inequality / variational equation / 不安定解 / 急速増大度 / 非線形弾性方程式 / 正値多重解 / mini-max principle / unbounded domain / minimal solution / nonlinear eigenvalue problem / 多重解 / mini-max原理 / 非有界領域 / 最小解 / 多重正値解 / 非線形固有値問題 / invariant curve / difference equation / comparison principle / eigenvalue problem / elliptic equation / degenerate / quasilinear / ∞-Laplacian / 不変曲線 / 差分方程式 / 分岐 / 固有値問題 / 楕円型方程式 / 退化型 / 準線形 / reaction-diffusion equations / Poincare inequality / *-Laplacian / 非線形波動方程式 / キルヒホッフ / 非線形拡散 / 退化楕円型作用素 / 非線形偏微分方程式 / 爆発 / 時間遅れ方程式 / 反応拡散方程式 / 退化楕円型方程式 / ポアンカレ不等式 / ∞-ラプラシアン / infinity Laplacian / viscosity solution / 無限大ラプラシアン / 粘性解 / Ljapunov数 / Exponential Dichotomy / 条件数 / 常微分方程式の初期値問題の数値解析 / 概周期解の安定性 / 概周期現象の数値解析 / 非線形振動の数値解析 / 非線形楕円型方程式 / 無限次元力学系 / 反応拡散系のパターン形成 / 非線形楕円型方程式の全域解 / 解の定性的理論 / 偏微分方程式 / 非線形微分方程式 / 非線形解析 / Cheeger set / 不定符号係数 / ノイマン問題 / ディリクレ問題 / 自由境界 / オーリッチ・ソボレフ空間 / 退化型準線形方程式 / 非線形ノイマン問題 / ディリクレ境界値問題 / 臨界指数 / 自由境界問題 / 変分法 / スーパーシンメトリー / 超対称性 / 微分・代数方程式 / 制度保証つき計算法 / 周期解 / アダムス法 / オイラー法 / 数値計算の精度保証 / 差分法の誤差解析 / 常微分方程式系の差分解法 / 常微分方程式系の初期値問題 / 非線形回路の数理 / ガレルキン法 / マイクロウェブ通信の数理 / 非線形振動の解析 / ダフィングの微分方程式 / ダフイングの微分方程式 / リヤプ-ノフ数 / モジュ-ル / 非線形波動 / 非線形振動論 / 非線形方程式 / 等角写像 / プラト-問題 / 分岐問題の数値解析 / 多変数関数のPade^^′近似 / 弧長法 / 篠原法 / 幾何学的な数値解法 / 非線形方程式の数値解法 / 安定性 / 予測子-修正子法 / オイラ-法 / 差分近似法 / 数値計算 Less
  • Research Projects

    (22 results)
  • Research Products

    (14 results)
  • Co-Researchers

    (27 People)
  •  Free boundary problem with quasilinear elliptic equations

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  Research on the structure of solutions for anisotropic quasilinear elliptic equations

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  Quasilinear Elliptic Differential Equations of Critical Nonlinear GrowthPrincipal Investigator

    • Principal Investigator
      FUKAGAI Nobuyoshi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokushima
  •  Research on quasilinear elliptic equations with rapidly growing principal parts

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  THE STUDY OF NON-LINEAR PHENOMENA BY THE ASYMPTOTIC ANALYSIS

    • Principal Investigator
      ITO Masayuki
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  Qualitative Theory of Quasilinear Degenerate Elliptic Differential EquationsPrincipal Investigator

    • Principal Investigator
      FUKAGAI Nobuyoshi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokushima University
  •  Studies on Some Degenerate Quasilinear Elliptic Equations in Unbounded Domains

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  Qualitative Theory of Nonlinear Elliptic Differential EquationsPrincipal Investigator

    • Principal Investigator
      FUKAGAI Nobuyoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      University of Tokushima
  •  Studies on the Structure of Solutions of Degenerate Quasilinear Elliptic Equations

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Naruto University of Education
  •  THE MATHEMATICAL ANALYSIS TO NON-LINEAR PHENOMENA THROUGH NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS

    • Principal Investigator
      ITO Masayuki
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  場の量子論における超対称性の数学的研究

    • Principal Investigator
      長町 重昭
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokushima
  •  連立非線形方程式系の大域における数値解法とその応用

    • Principal Investigator
      篠原 能材
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  常微分方程式系の初期値問題の数値解析的研究

    • Principal Investigator
      篠原 能材
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  非線型・方程式の定性解析Principal Investigator

    • Principal Investigator
      深貝 暢良
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      The University of Tokushima
  •  常微分方程式系の概周期解の数値解析

    • Principal Investigator
      篠原 能材
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  非線形楕円型方程式の解析的理論

    • Principal Investigator
      香田 温人
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokushima
  •  非線形振動と波動における概周期象の数理の研究

    • Principal Investigator
      篠原 能材
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  連立非線形方程式系の大域における数値解法とその応用

    • Principal Investigator
      篠原 能材
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  常微分方程式系の初期値問題の数値解析的研究

    • Principal Investigator
      篠原 能材
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  非線形振動と波動の数値解析的研究

    • Principal Investigator
      篠原 能材
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  微分方程式の解の定性的研究

    • Principal Investigator
      草野 尚
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Hiroshima University
  •  非線形微分方程式の解の構造についての数学的研究

    • Principal Investigator
      三村 昌泰
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University

All 2006 2005 2004 2003 Other

All Journal Article Presentation

  • [Journal Article] Posistive solutions of quasilinear elliptic equations with critical Orlicz-Sobolev nonlinearity on R^N.2006

    • Author(s)
      N.Fukagai
    • Journal Title

      Funkcial. Ekvac. 49

      Pages: 235-267

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540197
  • [Journal Article] Positive solutions of quasilinear elliptic equations with critical Orlicz-Sobolev nonlinearity on R^N.2005

    • Author(s)
      N.Fukagai
    • Journal Title

      Funkcial.Ekvac. 49

      Pages: 235-267

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540197
  • [Journal Article] Variational methods in Orlicz-Sobolev spaces to quasilinear elliptic equations2004

    • Author(s)
      深貝暢良, 伊藤正幸, 成川公昭
    • Journal Title

      数理解析研究所講究録 1405

      Pages: 14-30

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540211
  • [Journal Article] Variational methods in Orlicz-Sobolev spaces to quasilinear elliptic equations.2004

    • Author(s)
      N.Fukagai
    • Journal Title

      RIMS Kokyuroku 1405

      Pages: 14-30

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540197
  • [Journal Article] Variational Methods in Orlicz-Sobolev spaces to quasilinear elliptic equations.2004

    • Author(s)
      深貝暢良
    • Journal Title

      数理解析研究所講究録 1405

      Pages: 14-30

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540197
  • [Journal Article] Variational methods In Orlicz-Sobolev spaces to quasilinear elliptic equations2004

    • Author(s)
      Nobuyoshi Fukagai, Masayuki Ito, Kimiaki Narukawa
    • Journal Title

      Suriken-Kokyuroku 1405

      Pages: 14-30

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540211
  • [Journal Article] Multiple positive solutions of nonlinear eigenvalue problems associated to a class of p-Laplacian like operators2003

    • Author(s)
      Nobuyoshi Fukagai, Kimiaki Narukawa
    • Journal Title

      Communications in Contemporary Math. 5-5

      Pages: 737-759

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540211
  • [Journal Article] Multiple positive solutions of nonlinear eigenvalue problems associated to a class of p-Laplacian like operators2003

    • Author(s)
      Nobuyoshi Fukagai, Kimiaki Narukawa
    • Journal Title

      Communications in Contemporary Mathematics 5-5

      Pages: 737-759

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540211
  • [Journal Article] Quasilinear elliptic equations with slowly growing principal part and critical Orlicz-Sobolev nonlinear term

    • Author(s)
      Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa
    • Journal Title

      Proceedings of the Royal Society of Edinburgh, Sec.A.Mathematics To appear(accepted)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540197
  • [Journal Article] Quasilinear elliptic equations with slowly growing principal part and critical Orlicz-Sobolev nonlinear term

    • Author(s)
      Nobuyoshi, Fukagai, Masayuki, Ito, Kimiaki, Narukawa
    • Journal Title

      Proceedings of the Royal Society of Edinburgh. Sec. A. Mathematics (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540197
  • [Journal Article] On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems.

    • Author(s)
      N.Fukagai
    • Journal Title

      Ann.Mat.Pura Appl. (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540197
  • [Journal Article] On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems.

    • Author(s)
      N.Fukagai
    • Journal Title

      Ann. Mat. Pura. Appl. (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540197
  • [Journal Article] Quasilinear elliptic equations with slowly growing Principal part and critical Orlicz-Sobolev nonlinear term

    • Author(s)
      Nobuyoshi Fukagai
    • Journal Title

      Proceedings of the Royal Society of Edinburgh.Sec.A.Mathematics (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540197
  • [Presentation] Variational problem in Orlcz-Sobolev space for functionals whose principal parts have nearly linear growth2006

    • Author(s)
      Nobuyoshi, Fukagai
    • Organizer
      Conference of the Mathematical Society of Japan
    • Place of Presentation
      Chuo University
    • Year and Date
      2006-03-27
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540197
  • 1.  KOHDA Atsuhito (50116810)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 2.  NARUKAWA Kimiaki (60116639)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 6 results
  • 3.  ITO Masayuki (70136034)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 4 results
  • 4.  篠原 能材 (40035803)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 5.  長町 重昭 (00030784)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  田中 忠 (80035584)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  宮本 陽生 (50035656)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  MATSUOKA Takashi (50127297)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  NAITO Manabu (00106791)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  MURATA Hiroshi (20033897)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  MURAKAMI Koichi (90219890)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  今井 仁司 (80203298)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  草野 尚 (70033868)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  三村 昌泰 (50068128)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  大春 愼之助 (40063721)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  MATSUNAGA Hiromichi (30032634)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  YAMADA Yoshio (20111825)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  OHNUMA Masaki (90304500)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  SAWABE Masato (60346624)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  TORISU Ichiro (50323134)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  坂口 秀雄 (80274265)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  澤下 教親 (70035814)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  柴 雅和 (70025469)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  小林 亮 (60153657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  俣野 博 (40126165)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  亀高 惟倫 (00047218)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  小野 公輔 (00263806)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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