安小明,男,汉族,1990年1月出生于贵州贵阳。基础教学部教师,主要从事椭圆偏微分方程研究。
一、学习经历和主要讲授课程
大学本科(学校、专业):湖北大学、数学与应用数学
硕士研究生(学校、专业):华中师范大学,基础数学
博士研究生(学校、专业):华中师范大学,基础数学
主要讲授课程:高等数学(经济类)。
二、研究成果
代表性论文:
(1) An, Xiaoming; Peng, Shuangjie; Xie, Chaodong ; Achievablity of a supremum for the
Hardy-Littlewood-Sobolev inequality with supercritical exponent, Science China Mathematics, 2019.春季, 62(49): 2497-2504 (SCI)
(2) Xiaoming An; Xian Yang ; Convergence from power-law to logarithm-law in nonlinearfractional Schrödinger equations, Journal of Mathematical Physics, 2023, 64(1): 011506 (SCI)
(3) Xiaoming An; Shuangjie Peng; Chaodong Xie ; Semi-classical solutions for fractional
Schrödinger equations with potential vanishing at infinity, Journal of Mathematics Physics, 2019, 60 (SCI)
(4) Xiaoming An; Chunhua Wang ; Nonstandard solutions for a perturbed nonlinear Schrodinger system with small coupling coefficients, Mathematische Nachrichten, 2021, 294(6): 1052-1084 (SCI)
(5) Xiaoming An; Jing Yang ; Existence and asymptotic behavior of solitary waves for a weakly coupled Schrödinger system, Advanced Nonlinear Studies, 2022, 22(1): 159-183 (SCI)
(6) Xiaoming An , Duan Lipeng and Yanfang Peng (2021): Semi-classical analysis
for fractional Schrödinger equations with fast decaying potentials, Applicable Analysis, 101(2022), no.14, 5138-5155. (SCI)
(7) Xiaoming An, Shuangjie Peng; Multi-peak semiclassical bound states for Fractional Schrodinger Equations with fast decaying potentials, . Electron. Res. Arch. 30 (2022), no. 2, 585–614. (SCI)
(8) Xiaoming An, Xian Yang; Semi-classical states for Fractional Schrodinger Equations with magnetic fields and fast decaying potentials. Communications on Pure and Applied Analysis, Commun. Pure Appl. Anal. 21 (2022), no. 5, 1649–1672. (SCI)
研究的课题:
1.“薛定谔方程驻波解的一些新的存在性和集中性”(12101150),国家自然科学基金,2022/01/01-2024/12/31,在研,主持
2. “对数型薛定谔方程的半经典研究”(黔科合基础ZK[2021]一般008),贵州省科技厅科学技术基金项目,2021/04/01-2024/04/01, 结题,主持。