Adachi Shinji

アダチシンジ | Adachi Shinji

Affiliation and department：
Job title： Professor
Homepage URL (1)： https://wwp.shizuoka.ac.jp/adachi/

Research field (1)： Mathematical analysis

Research keywords (2)： Differential equations , Variational problems

Research theme for competitive and other funds (15)：

2023 - 2028 非線形楕円型方程式に対する変分解析の新展開
2018 - 2024 準線形楕円型偏微分方程式の解構造への変分的アプローチ
2015 - 2019 Lagrange multiplier problem for some quasilinear Schrodinger equation and its application to stability analysis
2013 - 2018 Variational study of nonlinear elliptic problems
2011 - 2015 Research on quasilinear Schrodinger equations arising plasma physics, which focuses on a dual variational structure

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Papers (24)：

Shinji Adachi, Norihisa Ikoma, Tatsuya Watanabe. Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation. Manuscripta Mathematica. 2023. 933-970
Shinji Adachi, Tatsuta Watanabe. G-invariant positive solutions for a class of locally superlinear Schrödinger equations, Journal of Mathematical Analysis and Applications. Journal of Mathematical Analysis and Applications. 2022. 501. 1
Shinji Adachi, Masataka Shibata, Tatsuya Watanabe. Uniqueness of asymptotic limit of ground states for a class of quasilinear Schrödinger equation with H^1-critical growth in R^3. Applicable Analysis. 2022. 101. 2. 671-691
Shinji Adachi, Masataka Shibata, Tatsuya Watanabe. Asymptotic property of ground states for a class of quasilinear Schrödinger equations with H^1-critical growth. Calculus of Variations and Partial Differential Equations. 2019. 58. 3
Shinji ADACHI, Masataka SHIBATA, Tatsuya WATANABE. A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application. Acta Mathematica Scientia. 2018. 38. 4. 1121-1142

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MISC (8)：

Adachi Shinji, Watanabe Tatsuya. Uniqueness and non-degeneracy of positive radial solutions of quasilinear Schrodinger equations (Progress in Qualitative Theory of Ordinary Differential Equations). RIMS Kokyuroku. 2014. 1901. 99-115
責任著者, Shinji Adachi, 共著者]Tatsuya Watanabe. Dual variational approach to a quasilinear Schrodinger equation. RIMS Kokyuroku. 2011. 1740. 103-119
責任著者, Shinji Adachi, 共著者]Tatsuya Watanabe. Uniqueness of the ground state solutions of quasilinear Schrodinger equations. Osaka City University Mathematical Preprint Series. 2010. 9-19
責任著者, Shinji Adachi, 共著者]Tasuya Watanabe. G-invariant positive solutions for a quasilinear Schrodinger equation. Osaka City University Mathematical Preprint Series. 2009. 9-17
Shinji Adachi. A positive solution of semilinear elliptic equation with $G$G-invariant nonlinearity. 2002. 1307. 157-174

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Books (2)：

Lectures and oral presentations (55)：

On the existence of ground state solutions to some elliptic equations with Sobolev critical growth
(Non-compactness phenomena on critical problems and related topics 2023)
Sobolev 臨界型の半線形楕円型方程式に対する基底状態解の存在について
(日本数学会秋季総合分科会関数方程式論分科会 2023)
On the existence and asymptotic behavior of positive solutions for a class of locally superlinear elliptic equation
(Workshop on Variational Methods and Functional Inequalities (OCAMI) 2023)
On the existence and asymptotic behavior of positive solutions for some elliptic equation with locally superlinear nonlinearity
(Workshop on recent progress in standing waves for nonlinear Schrödinger equations 2022)
局所的優線形な非線形楕円型方程式の正値解の存在と漸近挙動について
(第181回神楽坂解析セミナー 2022)

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Education (3)：

1998 - 2001 Waseda University
1996 - 1998 Waseda University
1992 - 1996 Waseda University School of Science and Engineering Department of Mathematics

Professional career (2)：

Work history (6)：

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Committee career (2)：

Awards (1)：

2017/12 - Division of Functional Equations The Mathematical Society of Japan The 9th Hukuhara Prize Studies on semi-linear and quasi-linear elliptic equations

Association Membership(s) (1)：

Mathematical Society of Japan

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