fukagai nobuyoshi 深貝暢良

… Alternative Names

FUKAGAI Nobuyoshi 深貝暢良

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 (Current)	2023: 徳島大学, 大学院社会産業理工学研究部(理工学域), 准教授
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 楕円型 / 準線形 / quasilinear / 非線形 / 微分方程式 / 定性理論 / 弱解 / 分岐 / 固有値問題 / nonlinear … More / elliptic / differential equations / qualitative theory / weak solutions / bifurcation / eigenvalue problems / concentration-compactness / 非線形方程式 / 弾性膜 / 数理モデル / 楕円形 / 非線型 / 楕円型方程式 / 変分法 / 正値解の存在 / Sobolevの臨界指数 / Orlicz空間 / Orlicz-Sobolev空間 / concentration-campactness / elliptic equation / variational method / positive solution / Sobolev's exponent / Orlicz space / Orlicz-Sobolev space … More Except Principal Investigator p-Laplacian / 準線形楕円型方程式 / quasilinear elliptic equation / concentration-compactness / 常微分方程式 / 数値解析 / 準周期解 / Orlicz-Sobolev空間 / p-ラプラシアン / 分岐理論 / limit eigenvalue problem / 正値解 / 初期値問題 / ルンゲ・クッタ法 / 変分問題 / 概周期解 / 常微分方程式の数値解析 / 非線形振動 / 極限固有値問題 / 準線形退化型楕円型方程式 / bifurcation theory / degenerate elliptic equation / delay differential equation / blow up / 比較定理 / bifurcation / multiple positive solution / mountain-pass solution / 変分方程式 / 変分不等式 / Orlicz-Sobolev space / 数値計算 / 差分近似法 / オイラ-法 / 予測子-修正子法 / 安定性 / 非線形方程式の数値解法 / 幾何学的な数値解法 / 篠原法 / 弧長法 / 多変数関数のPade^^′近似 / 分岐問題の数値解析 / プラト-問題 / 等角写像 / 非線形方程式 / 非線形振動論 / 非線形波動 / モジュ-ル / リヤプ-ノフ数 / ダフイングの微分方程式 / ダフィングの微分方程式 / 非線形振動の解析 / マイクロウェブ通信の数理 / ガレルキン法 / 非線形回路の数理 / 常微分方程式系の初期値問題 / 常微分方程式系の差分解法 / 差分法の誤差解析 / 数値計算の精度保証 / オイラー法 / アダムス法 / 周期解 / 制度保証つき計算法 / 微分・代数方程式 / 超対称性 / スーパーシンメトリー / 変分法 / 自由境界問題 / 臨界指数 / ディリクレ境界値問題 / 非線形ノイマン問題 / 退化型準線形方程式 / オーリッチ・ソボレフ空間 / 自由境界 / ディリクレ問題 / ノイマン問題 / 不定符号係数 / Cheeger set / 非線形解析 / 非線形微分方程式 / 偏微分方程式 / 解の定性的理論 / 非線形楕円型方程式の全域解 / 反応拡散系のパターン形成 / 無限次元力学系 / 非線形楕円型方程式 / 非線形振動の数値解析 / 概周期現象の数値解析 / 概周期解の安定性 / 常微分方程式の初期値問題の数値解析 / 条件数 / Exponential Dichotomy / Ljapunov数 / 粘性解 / 無限大ラプラシアン / viscosity solution / infinity Laplacian / ∞-ラプラシアン / ポアンカレ不等式 / 退化楕円型方程式 / 反応拡散方程式 / 時間遅れ方程式 / 爆発 / 非線形偏微分方程式 / 退化楕円型作用素 / 非線形拡散 / キルヒホッフ / 非線形波動方程式 / *-Laplacian / Poincare inequality / reaction-diffusion equations / 準線形 / 退化型 / 楕円型方程式 / 固有値問題 / 分岐 / 差分方程式 / 不変曲線 / ∞-Laplacian / quasilinear / degenerate / elliptic equation / eigenvalue problem / comparison principle / difference equation / invariant curve / 非線形固有値問題 / 多重正値解 / 最小解 / 非有界領域 / mini-max原理 / 多重解 / nonlinear eigenvalue problem / minimal solution / unbounded domain / mini-max principle / 正値多重解 / 非線形弾性方程式 / 急速増大度 / 不安定解 / variational equation / variational inequality / 非等方微分方程式 / p(x)-ラプラシアン / 非等方方程式 / anisotropic differential equation / variational inequatlity / positive solution / p(x)-Lanlacian / biburcation theory Less

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

fukagai nobuyoshi 深貝 暢良

FUKAGAI Nobuyoshi 深貝 暢良

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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Quasilinear Elliptic Differential Equations of Critical Nonlinear GrowthPrincipal Investigator

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Qualitative Theory of Quasilinear Degenerate Elliptic Differential EquationsPrincipal Investigator

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Qualitative Theory of Nonlinear Elliptic Differential EquationsPrincipal Investigator

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非線型・方程式の定性解析Principal Investigator

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fukagai nobuyoshi 深貝暢良

FUKAGAI Nobuyoshi 深貝暢良

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