UMEZU Kenichiro

ウメヅケンイチロウ | UMEZU Kenichiro

Affiliation and department：
Job title： Professor
Homepage URL (1)： http://umeken.sakura.ne.jp/kenwiki/index.php

Research field (1)： Mathematical analysis

Research keywords (1)： nonlinear elliptic boundary value problem, eigenvalue problem, positive solution, bifurcation analysis, variational approach, degree theory, sub- and supersolutions, population dynamics.

Research theme for competitive and other funds (13)：

2023 - 2026 沿岸漁業収穫に由来する非線形境界条件の下でのロジスティック楕円型境界値問題の研究
2018 - 2024 特異性を伴う混合型非線形楕円型境界値問題における非自明解集合の大域的構造の研究
2018 - 2023 特異性を伴う混合型非線形楕円型境界値問題における非自明解集合の大域的構造の研究
2015 - 2018 符号不定係数と混合型非線形性を伴う楕円型境界値問題の正値解の分岐構造に関する研究
2010 - 2013 人口動態論に由来する吸収爆発混合型の非線形楕円型境界値問題の分岐解析

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Papers (48)：

Kenichiro Umezu. Logistic elliptic equation with a nonlinear boundary condition arising from coastal fishery harvesting II. Journal of Mathematical Analysis and Applications. 2024. 534. 1. 128134
Kenichiro Umezu. Logistic elliptic equation with a nonlinear boundary condition arising from coastal fishery harvesting. Nonlinear Analysis: Real World Applications. 2023. 70. 103788
Kenichiro Umezu. Uniqueness of a positive solution for the Laplace equation with indefinite superlinear boundary condition. Journal of Differential Equations. 2023. 350. 124-151
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu. Nonnegative solutions of an indefinite sublinear Robin problem II: local and global exactness results. Israel Journal of Mathematics. 2022. 247. 661-696
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu. Uniqueness and positivity issues in a quasilinear indefinite problem. Calculus of Variations and Partial Differential Equations. 2021. 60. article number 187

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MISC (3)：

Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu. Past and recent contributions to indefinite sublinear elliptic problems. Rendiconti dell'Istituto di Matematica dell'Università di Trieste. 2020. 52. 1. 217-241
Humberto Ramos Quoirin, Kenichiro Umezu. An indefinite superlinear elliptic equation with a nonlinear boundary condition of sublinear type. Sūrikaisekikenkyūsho Kōkyūroku. 2016. 2006. 2006. 68-88
Kenichiro Umezu. Semilinear elliptic boundary value problems in chemical reactor theory (Japanese). Sūrikaisekikenkyūsho Kōkyūroku. 1998. 1025. 99-117

Lectures and oral presentations (77)：

Positive solutions for some sublinear Robin problem with an indefinite weight
(2023)
An exact multiplicity result for some sublinear Robin problem with an indefinite weight
(The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications in Wilmington NC 2023)
Logistic elliptic equations with the nonlinear boundary condition arising in coast fishery harvesting
(2022)
Uniqueness of a positive solution for the Laplace equation with indefinite superlinear boundary conditions: near a critical case
(2021)
Global exact multiplicity of positive solutions for an indenite sublinear Robin problem
(日本数学会2020年年会函数方程式論分科会 2020)

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Education (2)：

1988 - 1993 University of Tsukuba Graduate School, Division of Mathematics
1984 - 1988 University of Tsukuba First Cluster of College College of Natural Sciences

Professional career (1)：

Doctor of Mathematics (University of Tsukuba)

Work history (7)：

2012/04 - 現在 Faculty of Eduation, Ibaraki University Professor
2008/04 - 2012/03 Faculty of Education, Ibaraki University Associate Professor
2007/04 - 2008/03 Maebashi Institute of Technology Associate Professor
2001/04 - 2007/03 Maebashi Institute of Technology Associate Professor
1997/04 - 2001/03 Maebashi Institute of Technology Lecturer

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Awards (1)：

2003/08 - The International Society for Analysis, its Applications and Computation The ISAAC Award for Young Scientists

Association Membership(s) (2)：

日本応用数理学会 , 日本数学会

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