sano megumi 佐野めぐみ

… Alternative Names

Sano Megumi 佐野めぐみ

Less

Researcher Number	70834935
Other IDs
Affiliation (Current)	2025: 奈良女子大学, 自然科学系, 准教授
Affiliation (based on the past Project Information) *help	2019 – 2024: 広島大学, 先進理工系科学研究科(工), 准教授 2019: 広島大学, 工学研究科, 准教授
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related Except Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis
Keywords	Principal Investigator 非コンパクト / 臨界ソボレフ空間 / 関数不等式 / 最小化問題 / 安定性解析 / 放物型方程式 / 楕円型方程式 / Trudinger-Moserの不等式 / 球対称劣臨界ソボレフ空間 / 変分問題 … More / ハーディーの不等式 / Hardyの不等式 / 臨界Sobolev空間 / 達成可能性 / コンパクト性 / Hardy不等式 / 最良定数 … More Except Principal Investigator 領域の幾何 / Hardy 不等式 / 爆発解析 / 非コンパクト性 / 変分問題 / 非正則領域 / 非コンパクト / Trudinger-Moser 型不等式 / Hardy 型不等式 / Sobolev 不等式 / 関数不等式 / コンパクト性の喪失 / Trudinger-Moser 不等式 / 臨界型変分問題 / 分数ブラウン運動 / 関数方程式 / ブラウン運動 / 臨界指数 / 非線形 / 散逸 / 特異拡散 / 偏微分方程式 / 発展方程式 / 漸近挙動 / 進行波解 / 特異性 / 形状解析 / 放物型方程式 / 楕円型方程式 / 散逸型方程式 Less

非コンパクト型変分問題の爆発・消失現象と領域・作用素の特異幾何構造の相関
- Principal Investigator
  
  高橋太
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Osaka Metropolitan University
調和移植が拓く臨界型変分問題の解析Principal Investigator
- Principal Investigator
  
  佐野めぐみ
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Hiroshima University
Variational problems associated with best constants of functional inequalities in a limiting casePrincipal Investigator
- Principal Investigator
  
  Sano Megumi
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Hiroshima University
The influence of domains on the variational problems of critical type: global structures of solution spaces and the mechanism of the loss of compactness
- Principal Investigator
  
  Takahashi Futoshi
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Osaka Metropolitan University
  Osaka City University
Analysis of singular nonlinear structure in dissipative systems
- Principal Investigator
  
  Yanagida Eiji
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Mathematical analysis
- Research Institution
  The University of Tokyo
  Tokyo Institute of Technology

All 2024 2023 2022 2021 2020 2019 2018 2017 Other

All Journal Article Presentation Other

[Journal Article] On Eigenvalue Problems Involving the Critical Hardy Potential and Sobolev Type Inequalities with Logarithmic Weights in Two Dimensions2024
- Author(s)
  Sano Megumi、Takahashi Futoshi
- Journal Title
  
  The Journal of Geometric Analysis
  
  Volume: 34 Issue: 4 Pages: 1-32
- DOI
  10.1007/s12220-024-01559-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K13001, KAKENHI-PROJECT-19H05597, KAKENHI-PROJECT-23K25781
[Journal Article] On the compactness of the non-radial Sobolev space2023
- Author(s)
  Machihara Shuji、Sano Megumi
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 520 Issue: 1 Pages: 126897-126897
- DOI
  10.1016/j.jmaa.2022.126897
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K13001
[Journal Article] Critical Hardy inequality on the half-space via the harmonic transplantation2022
- Author(s)
  Megumi Sano and Futoshi Takahashi
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14568
[Journal Article] Improvements and Generalizations of Two Hardy Type Inequalities and Their Applications to the Rellich Type Inequalities2022
- Author(s)
  Sano Megumi
- Journal Title
  
  Milan Journal of Mathematics
  
  Volume: 90 Issue: 2 Pages: 647-678
- DOI
  10.1007/s00032-022-00363-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14568
[Journal Article] Minimization problem associated with an improved Hardy-Sobolev type inequality2020
- Author(s)
  Sano Megumi
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 200 Pages: 111965-111965
- DOI
  10.1016/j.na.2020.111965
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14568, KAKENHI-PROJECT-17H01095
[Journal Article] Two limits on Hardy and Sobolev inequalities2020
- Author(s)
  Sano Megumi
- Journal Title
  
  RIMS講究録「偏微分方程式の解の幾何的様相 (Geometric aspects of solutions to partial differential equations RIMS 共同研究（公開型）」
  
  Volume: 2172 Pages: 105-119
- NAID
  120007142234
- Data Source
  KAKENHI-PROJECT-19K14568
[Journal Article] Remarks on a limiting case of Hardy type inequalities2020
- Author(s)
  Sano Megumi、Sobukawa Takuya
- Journal Title
  
  Mathematical Inequalities & Applications
  
  Volume: 23 Issue: 4 Pages: 1425-1440
- DOI
  10.7153/mia-2020-23-102
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14568, KAKENHI-PROJECT-17H01095
[Journal Article] Extremal functions of generalized critical Hardy inequalities2019
- Author(s)
  Sano Megumi
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 未定 Issue: 4 Pages: 2594-2615
- DOI
  10.1016/j.jde.2019.03.024
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18J01053, KAKENHI-PROJECT-19K14568
[Journal Article] Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities2018
- Author(s)
  M. Sano and F. Takahashi
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 31 Pages: 57-74
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17H01095
[Journal Article] Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements2017
- Author(s)
  M. Sano and F. Takahashi
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 56 Issue: 3 Pages: 14-14
- DOI
  10.1007/s00526-017-1166-0
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-15H03631, KAKENHI-PROJECT-16J07472, KAKENHI-PROJECT-25220702
[Presentation] Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces and their applications2024
- Author(s)
  Megumi Sano
- Organizer
  OIST workshop “Geometric Aspects of Partial Differential Equations”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K13001
[Presentation] Harmonic transplantation and its applications to functional inequalities2023
- Author(s)
  Megumi Sano
- Organizer
  CNA seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] Sobolev type inequalities with logarithmic weights and its application to an eigenvalue problem involving the critical Hardy potential2023
- Author(s)
  Sano Megumi
- Organizer
  OCAMI Workshop on Variational Methods and Functional Inequalities
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] Improvements and generalizations of two Hardy type inequalities and their applications to the Rellich type inequalities2023
- Author(s)
  Megumi Sano
- Organizer
  The 13th AIMS Conference SS10 “Sharp inequalities and nonlinear differential equations”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K13001
[Presentation] Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces2023
- Author(s)
  Megumi Sano
- Organizer
  ICIAM 2023 TOKYO, Minisymposium “Nonlinear PDEs and related diffusion phenomena”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K13001
[Presentation] Harmonic transplantation and its applications to Sobolev embeddings, functional inequalities and variational problems2022
- Author(s)
  佐野めぐみ
- Organizer
  京都大学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] 調和移植とその関数不等式への応用2022
- Author(s)
  佐野めぐみ
- Organizer
  OCAMI談話会, 大阪公立大学
- Invited
- Data Source
  KAKENHI-PROJECT-17H01095
[Presentation] 調和移植とその関数不等式への応用2022
- Author(s)
  佐野めぐみ
- Organizer
  日本数学会2022年度年会函数解析学分科会特別講演, 埼玉大学 (Zoom)
- Invited
- Data Source
  KAKENHI-PROJECT-17H01095
[Presentation] 調和移植とその関数不等式への応用2022
- Author(s)
  佐野めぐみ
- Organizer
  日本数学会年会関数解析学分科会特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] Improvements and generalizations of two Hardy type inequalities2022
- Author(s)
  佐野めぐみ
- Organizer
  第23回北東数学解析研究会, 北海道大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H01095
[Presentation] Improvements and generalizations of two Hardy type inequalities2022
- Author(s)
  佐野めぐみ
- Organizer
  The 23rd Northeastern Symposium on Mathematical Analysis
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] Harmonic transplantation and its applications to Sobolev embeddings, functional inequalities and PDEs2022
- Author(s)
  Megumi Sano
- Organizer
  RIMS共同研究（公開型）“Women in Mathematics”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] The critical Hardy inequality on the half-space via harmonic transplantation2022
- Author(s)
  Megumi Sano
- Organizer
  CANUM 2020 Mini symposium"PDEs and related topic"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] Improvements and generalizations of two Hardy type inequalities2022
- Author(s)
  佐野めぐみ
- Organizer
  日韓共同研究集会 International Workshop on Nonlinear Elliptic Equations and Its Applications (Zoom)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H01095
[Presentation] The critical Hardy inequality on the half-space via harmonic transplantation2021
- Author(s)
  佐野めぐみ
- Organizer
  大阪大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation2021
- Author(s)
  佐野めぐみ
- Organizer
  PDEs and Probability Theory - beyond boundaries -
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] 調和移植とその関数不等式への応用2021
- Author(s)
  佐野めぐみ
- Organizer
  応用数理解析セミナー、東北大学（オンライン）
- Invited
- Data Source
  KAKENHI-PROJECT-17H01095
[Presentation] The critical Hardy inequality on the half-space via harmonic transplantation2021
- Author(s)
  佐野めぐみ
- Organizer
  楕円型・放物型微分方程式研究集会, 龍谷大学瀬田キャンパス（Zoom）
- Invited
- Data Source
  KAKENHI-PROJECT-17H01095
[Presentation] Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation2021
- Author(s)
  佐野めぐみ
- Organizer
  PDEs and Probability Theory - beyond boundaries ? (Online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H01095
[Presentation] 調和移植とその関数不等式への応用2021
- Author(s)
  佐野めぐみ
- Organizer
  東北大学応用数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] The critical Hardy inequality on the half-space via harmonic transplantation2021
- Author(s)
  佐野めぐみ
- Organizer
  大阪大学微分方程式セミナー, 大阪大学
- Invited
- Data Source
  KAKENHI-PROJECT-17H01095
[Presentation] Minimization problem associated with an improved Hardy-Sobolev inequality2020
- Author(s)
  佐野めぐみ
- Organizer
  日本数学会年会一般講演
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] Improved Hardy inequalities2020
- Author(s)
  佐野めぐみ
- Organizer
  Elliptic and Parabolic Zoom Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] 臨界型レリッヒ不等式ついて2020
- Author(s)
  佐野めぐみ
- Organizer
  茨城大学金曜セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] 臨界型レリッヒ不等式ついて2020
- Author(s)
  佐野めぐみ
- Organizer
  茨城大学金曜セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17H01095
[Presentation] Improved Hardy inequalities2020
- Author(s)
  佐野めぐみ
- Organizer
  第4回 Elliptic and Parabolic Zoom Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-17H01095
[Presentation] Minimization problems associated with embedding of the critical Sobolev spaces2019
- Author(s)
  Sano Megumi
- Organizer
  Minisymposium “Qualitative properties of solutions to Elliptic and Parabolic PDEs and related topics” at “International Conference on Elliptic and Parabolic Problems”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] Minimization problem associated with an improved Hardy-Sobolev inequality2019
- Author(s)
  Sano Megumi
- Organizer
  2019 International Workshop on PDEs and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] A limiting case of the Hardy type inequalities via extrapolation method2019
- Author(s)
  Sano Megumi
- Organizer
  6th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14568
[Presentation] A limiting case of the Hardy type inequalities via extrapolation method2019
- Author(s)
  Sano Megumi
- Organizer
  RIMS共同研究(公開型)「偏微分方程式の解の幾何的様相(Geometric Aspects of Solutions to Partial Differential Equations)」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14568
[]
[]
[]

1. Takahashi Futoshi (10374901)

# of Collaborated Projects: 3 results

# of Collaborated Products: 2 results
2. 石渡通徳 (30350458)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. 橋詰雅斗 (20836712)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. Yanagida Eiji (80174548)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 赤木剛朗 (60360202)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 田中敏 (90331959)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 若狭徹 (20454069)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 石毛和弘 (90272020)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 加藤信 (10243354)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 猪奥倫左 (50624607)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 高津飛鳥 (90623554)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 内免大輔 (20783278)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 壁谷喜継 (70252757)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 小野寺有紹 (70614999)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

sano megumi 佐野 めぐみ

Sano Megumi 佐野 めぐみ

Research Projects

Research Products

Co-Researchers

非コンパクト型変分問題の爆発・消失現象と領域・作用素の特異幾何構造の相関

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

調和移植が拓く臨界型変分問題の解析Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Variational problems associated with best constants of functional inequalities in a limiting casePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

The influence of domains on the variational problems of critical type: global structures of solution spaces and the mechanism of the loss of compactness

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis of singular nonlinear structure in dissipative systems

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On Eigenvalue Problems Involving the Critical Hardy Potential and Sobolev Type Inequalities with Logarithmic Weights in Two Dimensions2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the compactness of the non-radial Sobolev space2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Critical Hardy inequality on the half-space via the harmonic transplantation2022

Author(s)

Journal Title

Data Source

[Journal Article] Improvements and Generalizations of Two Hardy Type Inequalities and Their Applications to the Rellich Type Inequalities2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Minimization problem associated with an improved Hardy-Sobolev type inequality2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Two limits on Hardy and Sobolev inequalities2020

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Remarks on a limiting case of Hardy type inequalities2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Extremal functions of generalized critical Hardy inequalities2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities2018

Author(s)

Journal Title

Data Source

[Journal Article] Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements2017

Author(s)

sano megumi 佐野めぐみ

Sano Megumi 佐野めぐみ