Tanaka Mieko 田中視英子

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TANAKA Mieko 田中視英子

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Researcher Number	00459728
Other IDs
Affiliation (Current)	2025: 東京理科大学, 理学部第一部数学科, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 東京理科大学, 理学部第一部数学科, 准教授 2016 – 2021: 東京理科大学, 理学部第一部数学科, 講師 2015: 東京理科大学, 理学部, 講師 2014: 東京理科大学, 理学部, 助教 2012: 東京理科大学, 理学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis Except Principal Investigator Global analysis
Keywords	Principal Investigator 非線形固有値問題 / p-Laplacian / 解の符号 / 解の正値性 / 楕円型作用素 / 変分的なエネルギー / 楕円型偏微分方程式 / 固有値問題 / 符号変化する重み関数 / 解の存在と非存在 … More / 楕円型微分作用素 / 符号変化解 / 正値解 / 非同次な楕円型作用素 … More Except Principal Investigator 応用数学 / 関数解析学 / 数理物理 / 平均場 / 渦点 / 点渦 / 変分法 / 関数方程式論 / 量子化する爆発機構 / サブコラプスの生成 / コラプスの衝突 / 臨界ソボレフ指数 / 双対変分原理 / 循環的階層 / 質量量子化 / 腫瘍形成 / 粘弾性熱方程式 / タイプIIの爆発レート / 臨界指数 / 非線形スペクトル力学 / 特異性 / 自己組織化 / 変分構造 / 非線形現象 / Hadamard変分 / 圧縮性流体 / 粘弾性記憶形状合金 / 漸近的非退化性 / 点渦乱流平均場方程式 / 解の爆発 / 量子化爆発機構 / Smoluchowski-Poisson方程式 / 退化放物型方程式 / Gel’fand 方程式 / 点渦乱流平均場 / Lotka-Volterra系 / 競合的走化性 / 記憶形状物質 / 熱弾性 / 走化性 / 点渦乱流 / 量子化 / 凝縮 / 爆発 / 双対変分構造 / スケーリング Less

非線形楕円型方程式の解の符号と変分的エネルギーの解析Principal Investigator
- Principal Investigator
  
  田中視英子
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo University of Science
Solvability and solutions' analysis of nonlinear elliptic equations from the viewpoint of eigenvalue problemsPrincipal Investigator
- Principal Investigator
  
  Tanaka Mieko
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo University of Science
Eigenvalue problems for non-homogeneous elliptic operatorsPrincipal Investigator
- Principal Investigator
  
  Tanaka Mieko
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Tokyo University of Science
Study on the relation between the mean field of the equilibrium vortices and the vortex system
- Principal Investigator
  
  OHTSUKA Hiroshi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Kanazawa University
  University of Miyazaki
Analysis for nonlinear critical phenomena described by mean field equations
- Principal Investigator
  
  SUZUKI Takashi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

[Journal Article] Asymptoric behavior and monotonicity of radial eigenvalues for the p-Laplacian2024
- Author(s)
  Ryuji Kajikiya, Mieko Tanaka, Satoshi Tanaka
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 387 Pages: 496-531
- DOI
  10.1016/j.jde.2024.01.027
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23K03170, KAKENHI-PROJECT-19K03595
[Journal Article] On subhomogeneous indefinite p-Laplace equations in the supercritical spectral interval2023
- Author(s)
  Vladimir Bobkov and Mieko Tanaka
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 62 Issue: 1
- DOI
  10.1007/s00526-022-02322-4
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03591
[Journal Article] Multiplicity of positive solutions for (p,q)-Laplace equations with two parameters2022
- Author(s)
  Vladimir Bobkov and Mieko Tanaka
- Journal Title
  
  Communications in contemporary mathematica
  
  Volume: 24 Issue: 03
- DOI
  10.1142/s0219199721500085
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03591
[Journal Article] Generalized Picone inequalities and their applications to (p,q)-Laplace equations2020
- Author(s)
  Vladimir Bobkov and Mieko Tanaka
- Journal Title
  
  Open Mathematics
  
  Volume: 2020 Issue: 1 Pages: 1030-1044
- DOI
  10.1515/math-2020-0065
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03591
[Journal Article] On the Fredholm-type theorems and sign properties of solutions for (p, q)-Laplace equations with two parameters2019
- Author(s)
  Vladimir Bobkov, Mieko Tanaka
- Journal Title
  
  Annali di Matematica Pure ed Applicata
  
  Volume: - Issue: 5 Pages: 1651-1673
- DOI
  10.1007/s10231-019-00836-x
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17577
[Journal Article] On sign-changing solutions for resonant (p,q)-Laplace equations2018
- Author(s)
  Vladimir Bobkov, Mieko Tanaka
- Journal Title
  
  Differential Equations & Applications
  
  Volume: 10 Issue: 2 Pages: 197-208
- DOI
  10.7153/dea-2018-10-12
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17577
[Journal Article] Remarks on minimizers for (p,q)-Laplace equations with two parameters2018
- Author(s)
  Vladimir Bobkov、Mieko Tanaka
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 17 Issue: 3 Pages: 1219-1253
- DOI
  10.3934/cpaa.2018059
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17577
[Journal Article] Existence of positive solutions for nonlinear elliptic equations2017
- Author(s)
  Dumitru Motreanu, Mieko Tanaka
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 152 Pages: 38-60
- DOI
  10.1016/j.na.2016.12.011
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17577
[Journal Article] On sign-changing solutions for (p,q)-Laplace equations with two parameters2017
- Author(s)
  Vladimir Bobkov, Mieko Tanaka
- Journal Title
  
  Advances in Nonlinear Analysis
  
  Volume: - Issue: 1 Pages: 101-129
- DOI
  10.1515/anona-2016-0172
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17577
[Journal Article] Existence of a positive solution for problems with (p,q)-Laplacian and convection term in $R^N$2016
- Author(s)
  Luiz Faria, Olimpio Miyagaki, Mieko Tanaka
- Journal Title
  
  Boundary Value Probrems
  
  Volume: 2016:158 Issue: 1
- DOI
  10.1186/s13661-016-0665-9
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17577
[Presentation] Remarks on Lyapunov-type inequalities for (p,q)-Laplace equations2024
- Author(s)
  田中視英子, 金桝宏之
- Organizer
  非線形問題における精密解析
- Data Source
  KAKENHI-PROJECT-23K03170
[Presentation] Multiplicity of solutions for (p,q)-Laplace equations with two parameters2023
- Author(s)
  Vladimir Bobkov and Mieko Tanaka
- Organizer
  日本数学会２０２３年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-23K03170
[Presentation] On the Antimaximum Principle for the p-Lapacian and Its sublinear Pertubations2023
- Author(s)
  Vladimir Bobkov and Mieko Tanaka
- Organizer
  The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03170
[Presentation] Multiplicity of solutions for (p,q)-Laplace equations with two parameters2023
- Author(s)
  Vladimir Bobkov and Mieko Tanaka
- Organizer
  北見工業大学における微分方程式セミナー
- Data Source
  KAKENHI-PROJECT-23K03170
[Presentation] Radial eigenvalues for the p-Laplacian, II Monotonicity2023
- Author(s)
  梶木屋龍治, 田中視英子, 田中敏
- Organizer
  日本数学会２０２３年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-23K03170
[Presentation] Multiplicity results for (p,q)-Laplace equations via Ljustenik--Schnirelmann theory2023
- Author(s)
  Vladimir Bobkov and Mieko Tanaka
- Organizer
  Geometric Aspects of Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03170
[Presentation] Maximum principle and Anti-maximum principle type results for the p-Laplace equations2023
- Author(s)
  Vladimir Bobkov and Mieko Tanaka
- Organizer
  東工大数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K03170
[Presentation] p-Laplacian の球対称固有値の挙動と単調性について2023
- Author(s)
  梶木屋龍治, 田中視英子, 田中敏
- Organizer
  愛媛大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K03170
[Presentation] Radial eigenvalues for the p-Laplacian, I Asymptotic behavior2023
- Author(s)
  梶木屋龍治, 田中視英子, 田中敏
- Organizer
  日本数学会２０２３年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-23K03170
[Presentation] The least energy solutions for subhomogeneous indefinite p-Laplace equations2022
- Author(s)
  田中　視英子
- Organizer
  Internal Workshop on Nonlinear Elliptic Equations and Its Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03591
[Presentation] Maximum principle and Anti-Maximum principle type results for the p-Laplacian with indefinite weights2022
- Author(s)
  Mieko Tanaka
- Organizer
  大阪公立大学における微分方程式セミナー
- Data Source
  KAKENHI-PROJECT-19K03591
[Presentation] Remarks on ground states for p-Laplace equations with indefinite weight2021
- Author(s)
  田中　視英子
- Organizer
  オンラインによる微分方程式セミナー
- Data Source
  KAKENHI-PROJECT-19K03591
[Presentation] 符号変化する重み関数付き p-劣線形項を持つ p-ラプラス方程式の最小エネルギー解について2021
- Author(s)
  田中　視英子
- Organizer
  応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03591
[Presentation] Some remarks on positive solutions for $(p,q)$-Laplace equations with two parameters2019
- Author(s)
  田中　視英子
- Organizer
  南大阪応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K03591
[Presentation] Remarks on solutions for (p,q)-Laplace equation with two parameters2018
- Author(s)
  Mieko Tanaka
- Organizer
  第２８回さいたま数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K17577
[Presentation] Sign properties of solutions for $(p,q)$-Laplace equations2018
- Author(s)
  Mieko Tanaka
- Organizer
  International Workshop on Nonlinear PDEs 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17577
[Presentation] Solutions for (p,q)-Laplace equations with two parameters2018
- Author(s)
  Mieko Tanaka
- Organizer
  The 12th. AIMS Conference, SS 101
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17577
[Presentation] Remarks on minimizers for (p,q)-Laplace equations with two parameters2017
- Author(s)
  田中　視英子
- Organizer
  神楽坂解析セミナー
- Data Source
  KAKENHI-PROJECT-15K17577
[Presentation] Existence of a positive solution for nonlinear elliptic equations with convection term2016
- Author(s)
  田中　視英子
- Organizer
  新発田偏微分方程式研究会
- Place of Presentation
  市島株式会社（新潟県新発田市）
- Year and Date
  2016-03-26
- Data Source
  KAKENHI-PROJECT-15K17577

1. TAKAHASHI Futoshi (10374901)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. OHTSUKA Hiroshi (20342470)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. SUZUKI Takashi (40114516)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. MISAWA Masashi (40242672)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. NAITO Yuki (10231458)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. SUGIYAMA Yoshie (60308210)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. KOBAYASHI Takayuki (50272133)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. NAWA Hayato (90218066)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. WATANABE Kazuo (90260851)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. SATO Tomohiko (50397676)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. MATSUMURA Akitaka (60115938)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. YAGI Atsushi (70116119)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. RICCIARDI Tonia

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. ISHIWATA Michinori (30350458)

# of Collaborated Projects: 1 results

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15. YOSHIKAWA Shuji (80435461)

# of Collaborated Projects: 1 results

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16. KUROKIBA Masaki (60291837)

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17. FURIHATA Daisuke (80242014)

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18. KUWATA Kazuhiro (10186489)

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19. YAMADA Yoshio (20111825)

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20. SAITO Norikazu (00334706)

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21. TSUJIKAWA Tohru (10258288)

# of Collaborated Projects: 1 results

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22. YAZAKI Shigetoshi (00323874)

# of Collaborated Projects: 1 results

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23. TAKAHASHI Ryo

# of Collaborated Projects: 1 results

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24. TASAKI Sohei

# of Collaborated Projects: 1 results

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25. YATSUYANAGI Yuichi

# of Collaborated Projects: 1 results

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26. STEVENS Angela

# of Collaborated Projects: 1 results

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27. KAVALLARIS Nikos

# of Collaborated Projects: 1 results

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28. PAWLOW Irena

# of Collaborated Projects: 1 results

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29. CHAPLAIN Mark

# of Collaborated Projects: 1 results

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30. QUARANTA Vito

# of Collaborated Projects: 1 results

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31. CHAVANIS Pierre-henri

# of Collaborated Projects: 1 results

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32. GLADIALI Francesca

# of Collaborated Projects: 1 results

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33. GROSSI Massimo

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Tanaka Mieko 田中 視英子

TANAKA Mieko 田中 視英子

Research Projects

Research Products

Co-Researchers

非線形楕円型方程式の解の符号と変分的エネルギーの解析Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Solvability and solutions' analysis of nonlinear elliptic equations from the viewpoint of eigenvalue problemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Eigenvalue problems for non-homogeneous elliptic operatorsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on the relation between the mean field of the equilibrium vortices and the vortex system

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Analysis for nonlinear critical phenomena described by mean field equations

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Asymptoric behavior and monotonicity of radial eigenvalues for the p-Laplacian2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On subhomogeneous indefinite p-Laplace equations in the supercritical spectral interval2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Multiplicity of positive solutions for (p,q)-Laplace equations with two parameters2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Generalized Picone inequalities and their applications to (p,q)-Laplace equations2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the Fredholm-type theorems and sign properties of solutions for (p, q)-Laplace equations with two parameters2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On sign-changing solutions for resonant (p,q)-Laplace equations2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Remarks on minimizers for (p,q)-Laplace equations with two parameters2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence of positive solutions for nonlinear elliptic equations2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On sign-changing solutions for (p,q)-Laplace equations with two parameters2017

Author(s)

Journal Title

DOI

Data Source

Tanaka Mieko 田中視英子

TANAKA Mieko 田中視英子