Sano Megumi

サノメグミ | Sano Megumi

Affiliation and department：
Other affiliations (1)：

Osaka Metropolitan University

Research field (1)： Mathematical analysis

Research keywords (8)： Minimization Problem , Non-compactness , functional inequality , optimal constant , Elliptic partial differential equation , Critical Sobolev space , Variational problem , The Hardy inequality

Research theme for competitive and other funds (8)：

2023 - 2028 調和移植が拓く臨界型変分問題の解析
2023 - 2027 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
2019 - 2023 臨界型変分問題における領域の幾何の影響-解空間大域構造とコンパクト性喪失機構-
2019 - 2023 臨界型関数不等式の最良定数に付随する変分問題
2017 - 2022 散逸型方程式における特異非線形構造の解析

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Papers (17)：

Megumi Sano, Futoshi Takahashi. On Eigenvalue Problems Involving the Critical Hardy Potential and Sobolev Type Inequalities with Logarithmic Weights in Two Dimensions. Journal of Geometric Analysis. 2024. 34. 4
Takao, Ohno, Megumi Sano, Tetsu Shimomura. Compact embeddings for radial Sobolev spaces of two variable exponents and nonlinear elliptic problems with variable critical exponent. To appear, Advances in Differential Equations. 2023
Shuji Machihara, Megumi Sano. On the compactness of the non-radial Sobolev space. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2023. 520. 1
Megumi Sano. Improvements and Generalizations of Two Hardy Type Inequalities and Their Applications to the Rellich Type Inequalities. Milan Journal of Mathematics. 2022. 90. 2. 647-678
Megumi Sano, Futoshi Takahashi. Critical Hardy inequality on the half-space via the harmonic transplantation. Calculus of Variations and Partial Differential Equations. 2022. 61. 4

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MISC (1)：

Masahiro Ikeda, Megumi Sano, Koichi Taniguchi. Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces and their applications. 2024

Education (4)：

2015 - 2018 Osaka City University Graduate School of Science Mathematics and Physics Course
2013 - 2015 Osaka City University
2009 - 2013 Osaka City University Faculty of Science Department of Mathematics
2006 - 2009 大阪府立大手前高等学校普通科

Professional career (1)：

博士(理学) (大阪市立大学)

Work history (6)：

2022/02 - 現在 Hiroshima University
2021/10 - 2022/03 Tohoku University Graduate School of Science
2020/04 - 2022/01 Hiroshima University tenure-track associate professor
2019/04 - 2020/03 Hiroshima University Graduate School of Engineering tenure-track associate professor
2018/04 - 2019/03 日本学術振興会特別研究員PD (所属機関:東京工業大学)

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Awards (5)：

2021/09 - 日本数学会賞建部賢弘奨励賞関数不等式に付随する変分問題と新規スケール不変性の開拓
2020/02 - 大阪市立大学 2019年度数学研究会特別賞臨界と臨界ソボレフ空間の埋め込み定理及び関連した変分問題
2018/03 - Osaka City University OCAMI Association Prize
2017/10 - Osaka City University Okamura prize
2015/03 - Osaka City University OCU Prize

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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