Tanaka Satoshi

タナカサトシ | Tanaka Satoshi

Affiliation and department：
Job title：教授

Research field (1)： Mathematical analysis

Research keywords (5)： box-counting dimension , elliptic differential equation , bifurcation , boundary value problem , ordinary differential equation

Research theme for competitive and other funds (13)：

2022 - 2024 Nonlinear Elliptic Equations and Its Applications
2019 - 2022 2点境界値問題の解の厳密な個数と分岐現象
2017 - 2022 Analysis of singular nonlinear structure in dissipative systems
2020 - 2022 International Workshop on Nonlinear Elliptic Equations and Its Applications
2014 - 2019 The number of solutions and the length and the fractal dimension of oscillatory solutions of two point boundary problems

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Papers (52)：

Ryuji Kajikiya, Mieko Tanaka, Satoshi Tanaka. Asymptotic behavior and monotonicity of radial eigenvalues for the p-Laplacian. Journal of Differential Equations. 2024. 387. 5. 496-531
M. García-Huidobro, R. Manásevich, J. Mawhin, S. Tanaka. Periodic solutions for nonlinear systems of Ode's with generalized variable exponents operators. Journal of Differential Equations. 2024. 388. 34-58
Raul Manasevich, Satoshi Tanaka. An eigenvalue problem for a variable exponent problem, via topological degree. Discrete and Continuous Dynamical Systems. 2023
Naoki Shioji, Satoshi Tanaka, Kohtaro Watanabe. Multiple existence of positive even solutions for a two point boundary value problem on some very narrow possible parameter set. Journal of Mathematical Analysis and Applications. 2022. 513. 1. 126182-126182
Kenta Itakura, Satoshi Tanaka. A note on the asymptotic behavior of radial solutions to quasilinear elliptic equations with a Hardy potential. Proceedings of the American Mathematical Society, Series B. 2021. 8. 25. 302-310

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MISC (12)：

田中敏. Symmetry-breaking bifurcation of positive solutions to a one-dimensional Liouville type equation. 数理解析研究所講究録「実領域における常微分方程式の定性的研究」. 2016. 1993. 100-106
Tanaka Satoshi. On the nonuniqueness of positive solutions of boundary value problems for superlinear Emden-Fowler equations (Mathematical Analysis and Functional Equations from New Points of View). RIMS Kokyuroku. 2011. 1750. 70-76
Tanaka Satoshi. On the uniqueness and nonuniqueness of nodal radial solutions of sublinear elliptic equations in a ball (Dynamics of Functional Equations and Mathematical Models). RIMS Kokyuroku. 2009. 1637. 39-46
田中敏. An identity for a quasilinear ordinary differential equation and its applications. 数理解析研究所講究録「関数方程式論におけるモデリングと複素解析」. 2008. 1582. 18-22
Satoshi Tanaka. On the uniqueness of nodal radial solutions of superlinear elliptic equations in a ball. RIMS Kokyuroku. 2007. 1547. 120-124

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Lectures and oral presentations (150)：

p-Laplacian の球対称固有値の漸近挙動と単調性
(北見工大における微分方程式セミナー(通算第45回) 2023)
On the multiplicity of positive even solutions to the one-dimensional Henon type equation on some very narrow possible parameter set
(2023)
Uniqueness and multiplicity of positive solutions to the scalar-field equation on large annuli in the three-dimensional unit sphere
(2023)
三次元単位球面上の円環領域における scalar-field 方程式の正値解の多重存在
(微分方程式における解の漸近挙動の解析とその周辺 2023)
Uniqueness and multiplicity of positive solutions to the scalar-field equation on large annuli in the three-dimensional unit sphere
(13th Americas Conference on Diff. Equations and Nonlinear Analysis and ICMC Summer Meeting on Differ- ential Equations - 2023 Chapter 2023)

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Education (4)：

1999 - 2000 Ehime University Faculty of Science
1996 - 1999 Ehime University
1994 - 1996 Toyama University
1990 - 1994 Toyama University Faculty of Science Department of Mathematics

Professional career (1)：

博士(理学) (愛媛大学)

Work history (5)：

2020/04 - 現在 Tohoku University Graduate School of Science Department of Mathematics Professor
2014/04 - 2020/04 Okayama University of Science Faculty of Science Professor
2009/04 - 2014/03 Okayama University of Science Faculty of Science Associate Professor
2004/04 - 2009/03 Okayama University of Science Faculty of Science Lecturer
2000/04 - 2004/03 Hachinohe National College of Technology Lecturer

Committee career (10)：

2022/07 - 現在 Differential Equations and Dynamical Systems Editor
2020/04 - 現在 Tohoku Mathematical Journal Editor
2017/01 - 現在 Differential Equations & Applications Editor
2007/09 - 現在ヨーロッパ数学会 Reviewer for zbMATH
2007/05 - 現在アメリカ数学会 Reviewer for Mathematical Reviews

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Awards (1)：

2013/12 - Division of Functional Equations, The Mathematical Society of Japan The 5th Hukuhara Prize (2013) Research on boundary value problems and qualitative properties of solutions to ordinary differential equations and research on neutral differential equations

Association Membership(s) (2)：

日本応用数理学会 , THE MATHEMATICAL SOCIETY OF JAPAN

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