个人近期相片

姓名：李全清

职称：教授

导师：硕导

专业：基础数学

研究方向：非线性泛函分析

邮箱：shili06171987@126.com

■ 教育经历

2021.01-2021.12 清华大学数学科学系 访问学者

2013.09-2016.07 云南大学数学与统计学院 基础数学 研究生/博士

2010.09-2013.07 云南师范大学数学学院 基础数学 研究生/硕士

2006.09-2010.07 云南师范大学数学学院 数学与应用数学 本科/学士

■ 工作经历

2022.12-至今 红河学院数学与统计学院 教授

2019.12-2022.11 红河学院数学与统计学院 副教授

2016.08-2019.11 红河学院数学学院 讲师

■ 教学

《数学分析》、《泛函分析》、《高等数学》等

■ 奖励与荣誉

2024年6月荣获“云南省有突出贡献优秀专业技术人才”荣誉称号;

2023年9月荣获“云南省优秀教师”荣誉称号;

2023年5月荣获“云南青年五四奖章”;

2020年12月入选云南省“高层次人才培养支持计划”青年拔尖人才专项;

2023年12月入选“红河奔腾”高层次人才专项省级领军人才;

2019年荣获第十一届“全国大学生数学竞赛（云南赛区）优秀指导教师”荣誉称号;

2018年荣获第十届“全国大学生数学竞赛（云南赛区）优秀指导教师”荣誉称号.

■ 研究项目

[1] 带位势的Sobolev临界或超临界Schrödinger方程(组)正规化解及其性态研究, 国家自然科学基金-地区科学基金项目, 2023.01-2026.12, 项目主持人;

[2] 带非局部项的拟线性薛定谔方程的若干变分问题研究, 国家自然科学基金-青年科学基金项目, 2019.01-2021.12, 项目主持人;

[3] 分数阶Choquard方程的变分方法研究, 国家自然科学基金-数学天元基金项目, 2021.01-2021.12, 项目主持人;

[4] 一类带位势的非局部椭圆方程(组)的正规化解研究, 云南省应用基础研究计划重点项目, 2024.03-2027.02, 项目主持人;

[5] Sobolev 临界或超临界分数阶Schrödinger方程的正规化解研究, 云南省应用基础研究计划面上项目, 2023.06-2026.05, 项目主持人;

[6] 分数阶 Choquard 方程解的多重性及性态研究, 云南省应用基础研究计划面上项目, 2019.07-2022.06, 项目主持人;

[7] 分数阶Choquard方程的若干变分问题研究, 云南省应用基础研究计划青年项目, 2018.06-2021.05, 项目主持人;

[8] 带非局部项的拟线性薛定谔方程的若干变分问题研究, 云南省应用基础研究计划高校联合面上项目, 2017.12-2020.11, 项目主持人;

[9] 分数阶Schrödinger方程解的存在性与多重性研究, 云南省博士研究生学术新人奖研究项目, 2014.09-2016.06, 项目主持人.

■ 代表性成果

在国内外期刊上发表SCI学术论文50余篇，其中ESI热点论文3篇, ESI高被引论文3篇, Top期刊10篇, 近5年发表论文如下:

(1) Quanqing Li, Wenbo Wang, Kaimin Teng*, Xian Wu, Ground states for fractional Schrödinger equations with electromagnetic fields and critical growth, Acta Mathematica Scientia, 40(1)(2020), 59-74.

(2) Quanqing Li, Kaimin Teng*, Jian Zhang, Wenbo Wang*, Concentration behavior of solutions for fractional Schrödinger equations involving critical exponent, Journal of Mathematical Physics, 61(7)(2020), 071513, 5 pp.

(3) Quanqing Li*, Jian Zhang, Wenbo Wang, Kaimin Teng, Ground states for fractional Schrödinger equations involving critical or supercritical exponent, Applicable Analysis, 102(1)(2023), 52-64.

(4) Quanqing Li, Jian Zhang, Wenbo Wang, Kaimin Teng*, Existence of nontrivial solutions for fractional Choquard equations with critical or supercritical growth, Applicable Analysis, 101(3)(2022), 849-857.

(5) Quanqing Li, Kaimin Teng, Jian Zhang*, Ground state solutions for fractional Choquard equations involving upper critical exponent, Nonlinear Analysis, 197(2020), 111846, 11 pp.

(6) Quanqing Li, Kaiming Teng, Wenbo Wang, Jian Zhang*, Concentration phenomenon of solutions for a class of Kirchhoff-type equations with critical growth, Journal of Mathematical Analysis and Applications, 491(2)(2020), 124355, 23 pp.

(7) Jianjun Nie, Quanqing Li*, Multiplicity of sign-changing solutions for a supercritical nonlinear Schrödinger equation, Applied Mathematics Letters, 109(2020), 106569, 7 pp.

(8) Jian Zhang, Jianhua Chen, Quanqing Li, Wen Zhang*, Concentration behavior of semiclassical solutions for Hamiltonian elliptic system, Advances in Nonlinear Analysis, 10(1)(2021), 233-260.

(9) Wenbo Wang, Quanqing Li*, Existence and concentration of positive ground states for Schrödinger-Poisson equations with competing potential functions, Electronic Journal of Differential Equations, (2020), Paper No. 78, 19 pp.

(10) Quanqing Li, Kaiming Teng, Jian Zhang, Jianjun Nie*, An existence result for a generalized quasilinear Schrödinger equation with nonlocal term, Journal of Function Spaces, (2020), Paper No. 6430104, 6 pp.

(11) Wenbo Wang, Quanqing Li, Yongkun Li*, The sign-changing solutions and ground states for planar Schrödinger-Newton system with an exponential critical growth, Journal of Mathematical Physics, 61(10)(2020), 101513, 21 pp.

(12) Quanqing Li, Jianjun Nie*, Multiple sign-changing solutions for fractional Schrödinger equations involving critical or supercritical exponent, Applied Mathematics Letters, 120(2021), Paper No. 107321, 6 pp.

(13) Quanqing Li, Jianjun Nie, Wenbo Wang, Jian Zhang*, Existence and asymptotic behavior of localized nodal solutions for a class of Kirchhoff-type equations, The Journal of Geometric Analysis, 31(12)(2021), 12411-12445.

(14) Quanqing Li, Jian Zhang*, Jianjun Nie, Wenbo Wang, Semiclassical solutions of generalized quasilinear Schrödinger equations with competing potentials, Complex Variables and Elliptic Equations, 68(7)(2023), 1045-1076.

(15) Quanqing Li, Song You, Zuo Yang*, Semi-classical solutions for generalized quasilinear Schrödinger equations with nonlocal term and upper critical exponent, Applicable Analysis, 102(10)(2023), 2724-2754.

(16) Quanqing Li, Meiqi Liu, Houwang Li*, Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth, Fractional Calculus and Applied Analysis, 25(3)(2022), 1073-1107.

(17) Quanqing Li*, Wenming Zou, The existence and multiplicity of the normalized solutions for fractional Schrödinger equations involving Sobolev critical exponent in the L2-subcritical and L2-supercritical cases, Advances in Nonlinear Analysis, 11(1)(2022), 1531-1551.

(18) Quanqing Li, Vicentiu D. Radulescu*, Jian Zhang, Xin Zhao, Normalized solutions of the autonomous Kirchhoff equation with Sobolev critical exponent: sub- and super-critical cases, Proceedings of the American Mathematical Society, 151(2)(2023), 663-678.

(19) Quanqing Li, Jian Zhang*, Jianjun Nie, Wenbo Wang, Multiplicity and concentration results for generalized quasilinear Schrödinger equations with nonlocal term, Analysis and Mathematical Physics, 12(3)(2022), Paper No. 82, 42 pp.

(20) Meiqi Liu, Quanqing Li*, A mass supercritical and critical Sobolev fractional Schrödinger system, Mathematical Methods in the Applied Sciences, 46(3)(2023), 3356-3370.

(21) Jianjun Nie, Quanqing Li*, Non-degeneracy of bubbling solutions for fractional Schrödinger equation and its application, Journal of Differential Equations, 337(2022), 32-90.

(22) Quanqing Li, Jian Zhang*, Jianjun Nie, Ground state solutions for generalized quasilinear Schrödinger equations with critical growth, Qualitative Theory of Dynamical Systems, 21(4)(2022), Paper No. 137, 33 pp.

(23) Quanqing Li, Jianjun Nie, Wen Zhang*, Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation, The Journal of Geometric Analysis, 33(4)(2023), Paper No. 126, 22 pp.

(24) Quanqing Li, Wenbo Wang, Meiqi Liu*, Normalized solutions for the fractional Choquard equations with Sobolev critical and double mass supercritical growth, Letters in Mathematical Physics, 113(2)(2023), Paper No. 49, 9 pp.

(25) Quanqing Li, Jian Zhang, Wen Zhang*, Multiplicity of semiclassical solutions for fractional Choquard equations with critical growth, Analysis and Mathematical Physics, 13(2)(2023), Paper No. 27, 29 pp.

(26) Quanqing Li*, Wenming Zou, Normalized ground states for Sobolev critical nonlinear Schrödinger equation in the L2-supercritical case, Discrete and Continuous Dynamical Systems, 44(1)(2024), 205-227.

(27) Quanqing Li, Jianjun Nie, Wenbo Wang*, Nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical growth, Qualitative Theory of Dynamical Systems, 23(2)(2024), Paper No. 65, 21 pp.

(28) Quanqing Li, Vicentiu D. Radulescu, Wen Zhang*, Normalized ground states for the Sobolev critical Schrödinger equation with at least mass critical growth, Nonlinearity, 37(2)(2024), Paper No. 025018, 28pp.

(29) Quanqing Li, Jianjun Nie*, Wenbo Wang, Jianwen Zhou, Normalized solutions for Sobolev critical fractional Schrödinger equation, Advances in Nonlinear Analysis, 13(1)(2024), Paper No. 20240027.

(30) Quanqing Li, Zhipeng Yang, Existence of normalized solutions for a Sobolev supercritical Schrödinger equation, Electronic Research Archive, 32(12)(2024), 6761-6771.

(31) Quanqing Li, Jianjun Nie, Wen Zhang*, Multiple normalized solutions for fractional Schrödinger equations with lack of compactness, The Journal of Geometric Analysis, (2025), 35: 59.