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J-GLOBAL ID：201501035619898609 Update date: Jun. 01, 2024

Ikoma Norihisa

イコマノリヒサ | Ikoma Norihisa

Affiliation and department：

Research field (1)： Basic analysis

Research theme for competitive and other funds (7)：

2024 - 2028 特異性や制約条件を持つ非線形楕円型方程式の解構造の研究
2019 - 2024 優臨界・臨界・劣臨界楕円型方程式の解構造の総合的研究
2019 - 2023 様々な効果を持つ非線形楕円型方程式の解構造の研究
2017 - 2021 Analysis of large time behavior of solution to nonlinear partial differential equations with dispersion
2016 - 2019 Nonlinear elliptic partial differential equations having variation structure

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Papers (32)：

Norihisa Ikoma, Mizuki Yamanobe. The existence and multiplicity of L^2-normalized solutions to nonlinear Schrödinger equations with variable coefficients. Advanced Nonlinear Studies. 2024. 24. 2. 477-509
Jaeyoung Byeon, Norihisa Ikoma, Andrea Malchiodi, Luciano Mari. Existence and Regularity for Prescribed Lorentzian Mean Curvature Hypersurfaces, and the Born-Infeld Model. Annals of PDE. 2024. 10. 1
Shoichi Hasegawa, Norihisa Ikoma, Tatsuki Kawakami. On weak solutions to a fractional Hardy-Hénon equation, Part II: Existence. Nonlinear Analysis. 2023. 227. 113165-113165
Norihisa Ikoma, Yasuhito Miyamoto. The compactness of minimizing sequences for a nonlinear Schrödinger system with potentials. Communications in Contemporary Mathematics. 2023. 25. 2
Norihisa Ikoma, Kazunaga Tanaka, Zhi-Qiang Wang, Chengxiang Zhang. Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions. Indiana University Mathematics Journal. 2022. 71. 5. 2001-2043

MISC (4)：

生駒典久. Kirchhoff型方程式に対する特異摂動問題 (パターン形成と界面ダイナミクスの数理). 数理解析研究所講究録. 2015. 1979. 89-106
Ikoma Norihisa. Some properties of eigenvalues for fully nonlinear operators (Qualitative theory of ordinary differential equations in real domains and its applications). RIMS Kokyuroku. 2015. 1959. 128-141
Ikoma Norihisa. Existence of eigenvalues and eigenfunctions for radially symmetric fully nonlinear elliptic operators (Regularity and Singularity for Geometric Partial Differential Equations and Conservation Laws). RIMS Kokyuroku. 2013. 1845. 84-106
Ikoma Norihisa. A singular perturbation problem for coupled nonlinear Schrodinger equations (Variational Problems and Related Topics). RIMS Kokyuroku. 2009. 1671. 1-19

Lectures and oral presentations (10)：

Kirchhoff 型方程式に対する最小エネルギー解の存在
(第10回青葉山勉強会「変分法的手法の応用」 2014)
Singular perturbation problems for the Kirchhoff type equations with general nonlinearities
(日本数学会2014年度会函数方程式論分科会 2014)
Eigenvalue problems for fully nonlinear second-order elliptic PDE on balls
(日本数学会2014年度会函数方程式論分科会 2014)
Kirchhoff 型方程式に対する最小エネルギー解の存在
(第10回青葉山勉強会「変分法的手法の応用」 2014)
Singular perturbation problems for the Kirchhoff type equations with general nonlinearities
(日本数学会2014年度会函数方程式論分科会 2014)

Work history (4)：

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