足達慎二

アダチシンジ | Adachi Shinji

所属機関・部署：
職名：教授
ホームページURL (1件)： https://wwp.shizuoka.ac.jp/adachi/

研究分野 (1件)：数理解析学

研究キーワード (2件)：微分方程式 , 変分問題

競争的資金等の研究課題 (15件)：

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論文 (24件)：

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

MISC (8件)：

足達慎二, 渡辺達也. Uniqueness and non-degeneracy of positive radial solutions of quasilinear Schrodinger equations (Progress in Qualitative Theory of Ordinary Differential Equations). 数理解析研究所講究録. 2014. 1901. 99-115
責任著者, Shinji Adachi, 共著者]Tatsuya Watanabe. Dual variational approach to a quasilinear Schrodinger equation. 数理解析研究所講究録. 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. 数理解析研究所講究録. 2002. 1307. 157-174

書籍 (2件)：

講演・口頭発表等 (55件)：

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)

学歴 (3件)：

学位 (2件)：

経歴 (6件)：

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委員歴 (2件)：

受賞 (1件)：

所属学会 (1件)：

日本数学会

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足達 慎二