个人简介

罗肖，理学博士，合肥工业大学数学学院副教授，硕士生导师。主要研究领域为非线性泛函分析及其在偏微分方程、数学物理等方面的应用。先后在质量约束变分理论及泛函结构不定问题的新理论性框架和工具的建立方面取得系统性研究成果，在J. Funct. Anal., SIAM J. Math. Anal., Israel J. Math., Calc. Var. Partial Differential Equations, Math. Z., J. Differential Equations, 中国科学英文版等国内外期刊发表学术论文三十余篇。正在主持国家自然科学基金面上项目和安徽省自然科学基金面上项目，曾主持完成国家自然科学基金青年科学基金项目。2023年荣获安徽省青年数学奖。

我的主要研究方向是利用非线性泛函分析中的临界点理论与变分方法来研究具有深刻数学物理背景的非线性偏微分方程（组）解的结构和性质，为刻画和解释相关物理实验现象、认识客观世界提供新视角。我的招生方向是基础数学，欢迎对数学充满热情并对非线性分析和偏微分方程研究感兴趣的同学报考！联系方式：luoxiaohf@163.com

科研项目

国家自然科学基金面上项目，主持，在研

国家自然科学基金青年项目，主持，已结题

安徽省自然科学基金面上项目, 主持，在研

合肥工业大学学术人才自主创新项目, 主持，在研

数学物理湖北省重点实验室开放课题基金，主持，在研

代表性科研成果

[17] Variational problem with repulsive-attractive kernels and its application, J. Funct. Anal. 289 (2025), Paper No. 111187, 61 pp. (with Daomin Cao and Huifang Jia)

[16] On Ground States of Spin-1 Bose-Einstein Condensates with Ioffe-Pritchard Magnetic Field in Two and Three Dimensions, SIAM Journal on Mathematical Analysis 57 (2025), 5039-5079. (with Menghui Li, Juncheng Wei and Maoding Zhen)

[15] Multiplicity and asymptotics of standing waves for the energy critical half-wave, Israel Journal of Mathematics (2025). (with Tao Yang and Xiaolong Yang)

[14] Free and harmonic trapped spin-1 Bose-Einstein condensates in R3, SIAM Journal on Mathematical Analysis 56 (2024), 4375-4414. (with Menghui Li, Juncheng Wei and Maoding Zhen)

[13] New vector solutions for cubic nonlinear Schrödinger systems in R3. J. Anal. Math.153 (2024) 247-291. (with Lipeng Duan and Maoding Zhen)

[12] Prescribed mass standing waves for energy critical Hartree equations. Calc. Var. Partial Differential Equations 62 (2023) Paper No. 71. (with Huifang Jia)

[11] Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient. Sci. China Math. 66 (2023) 1237-1262. (with Tao Yang)

[10] Normalized solutions for Schrödinger system with quadratic and cubic interactions. J. Differential Equations 314 (2022) 56-127. (with Juncheng Wei, Xiaolong Yang and Maoding Zhen)

[9] Concentrating standing waves for Davey-Stewartson systems. Proc. Roy. Soc. Edinburgh Sect. A 152 (2022) 1411-1450. (with Yi He)

[8] Stable solitary waves for pseudo-relativistic Hartree equations with short range potential. Nonlinear Anal. 207 (2021), Paper No. 112275. (with Tao Yang)

[7] Standing waves with prescribed mass for the Schrödinger equations with van der Waals type potentials. J. Differential Equations 276 (2021) 228-263. (with Daomin Cao and Huifang Jia)

[6] Standing waves with prescribed mass for the coupled Hartree-Fock system with partial confinement. Ann. Mat. Pura Appl. 200 (2021) 1487-1516. (with Huifang Jia)

[5] Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation. J. Differential Equations 304 (2021) 326-347. (with Tao Yang)

[4] Existence and multiplicity of normalized solutions for a class of fractional Choquard equations. Sci. China Math. 63 (2020) 539-558. (with Gongbao Li)

[3] Normalized standing waves for the Hartree equations. J. Differential Equations 267 (2019) 4493-4524.

[2] Concentrating standing waves for the Gross-Pitaevskii equation in trapped dipolar quantum gases. J. Differential Equations 266 (2019) 600-629. (with Yi He)

[1] Multiple normalized solutions for a planar gauged nonlinear Schrödinger equation. Z. Angew. Math. Phys. 69 (2018) Paper No. 58.