个人简介
罗肖,理学博士,金沙集团1862cc成色副教授,硕士生导师。主要研究领域为非线性泛函分析及其在非线性偏微分方程、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SCI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各1项,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。教学方面,2021年获校青年教师教学基本功比赛二等奖,主持完成校级课程规划设计研究项目一项。
科研项目
国家自然科学基金面上项目,2025.01-2028.12,主持
国家自然科学基金青年项目,2020.01-2022.12,主持
安徽省自然科学基金面上项目, 2023.09-2026.08,主持
代表性科研成果
[16] Standing waves for two-component elliptic system with critical growth in R4: the attractive case, Math. Z. (2025).
[15] Multiplicity and asymptotics of standing waves for the energy critical half-wave, Israel Journal of Mathematics (2025).
[14] Free and harmonic trapped spin-1 Bose-Einstein condensates in R3, SIAM Journal on Mathematical Analysis 56 (2024), 4375-4414.
[13] New vector solutions for cubic nonlinear Schrödinger systems in R3. J. Anal. Math.153 (2024) 247-291.
[12] Prescribed mass standing waves for energy critical Hartree equations. Calc. Var. Partial Differential Equations 62 (2023) Paper No. 71.
[11] Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient. Sci. China Math. 66 (2023) 1237-1262.
[10] Normalized solutions for Schrödinger system with quadratic and cubic interactions. J. Differential Equations 314 (2022) 56-127.
[9] Concentrating standing waves for Davey-Stewartson systems. Proc. Roy. Soc. Edinburgh Sect. A 152 (2022) 1411-1450.
[8] Stable solitary waves for pseudo-relativistic Hartree equations with short range potential. Nonlinear Anal. 207 (2021), Paper No. 112275.
[7] Standing waves with prescribed mass for the Schrödinger equations with van der Waals type potentials. J. Differential Equations 276 (2021) 228-263.
[6] Standing waves with prescribed mass for the coupled Hartree-Fock system with partial confinement. Ann. Mat. Pura Appl. 200 (2021) 1487-1516.
[5] Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation. J. Differential Equations 304 (2021) 326-347.
[4] Existence and multiplicity of normalized solutions for a class of fractional Choquard equations. Sci. China Math. 63 (2020) 539-558.
[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.
[1] Multiple normalized solutions for a planar gauged nonlinear Schrödinger equation. Z. Angew. Math. Phys. 69 (2018) Paper No. 58.
社会兼职
美国数学会评论员(reviewer for Mathematical Reviews/MathSciNet)