李勇勇,男,漢族,中共黨員,1992年9月生,甘肅平涼人。2021年6月畢業于西南大學基礎數學專業,獲理學博士學位(師從唐春雷教授),同年9月進入77779193永利工作。現為77779193永利副教授,碩士生導師,美國《Mathematical Reviews》評論員。現主要從事非線性泛函分析和橢圓型PDE變分問題的研究,已在J. Differential Equations、Nonlinearity、Nonlinear Anal.、Adv. Nonlinear Stud.、Adv. Nonlinear Anal.、Acta Math. Sci.、J. Math. Anal. Appl. 以及Appl. Math. Lett.等期刊上發表SCI論文10餘篇。
聯系方式:
地 址:甘肅省蘭州市安甯區安甯東路967号 郵編:730070
辦公地點:77779193永利緻勤樓C區304室
E-mail:liyymath@nwnu.edu.cn
科研項目:
[1]國家自然科學基金青年科學基金項目,幾類非自治Choquard方程的規範解(NO.12301143),2024.01-2026.12,主持,在研.
[2]國家自然科學基金地區科學基金項目,發展型與橢圓型薛定谔方程相結合的若幹問題研究,(NO.12261079),2023.01-2026.12,參與,在研.
[3]77779193永利青年教師科研能力提升計劃項目,(NO.NWNU-LKQN2022-02),臨界Schrödinger-Maxwell方程的基态規範解,2022.07-2025.06,主持,在研.
[4]國家自然科學基金面上項目,幾類非局部橢圓方程的基态解(NO.11971393), 2020.01-2023.12,參與,結題.
[5]中央高校項目,臨界Choquard方程的基态解(NO.XDJK2020D032),2020.01-2020.12,主持,結題.
發表的部分學術論文:
[1] Y.-Y. Li, G.-D. Li, C.-L. Tang, Multiplicity and concentration of positive solutions for critical Choquard equations with concave perturbation, J. Math. Anal. Appl. 524(2023) 24 pp.
[2] G.-D. Li, Y.-Y. Li, C.-L. Tang, Ground state solutions for critical Schrödinger equations with Hardy potential, Nonlinearity 35 (2022) 5076-5108.
[3] G.-D. Li, Y.-Y. Li, C.-L. Tang, Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations, Adv. Nonlinear Anal. 11 (2022) 907-920.
[4] J.-L. Tan, Y.-Y. Li, C.-L. Tang, The existence and concentration of ground state solutions for Chern-Simons-Schrödinger systems with a steep well potential, Acta Math. Sci.42 (2022) 1125-1140.
[5] Y.-Y. Li, G.-D. Li, C.-L. Tang, Ground state sign-changing solutions for critical Choquard equations with steep well potential, Electron. J. Qual. Theory Differ. Equ. 54 (2022) 20 pp.
[6] Y.-Y. Li, G.-D. Li, C.-L. Tang, Radial ground state solutions for Choquard equations with Hardy-Littlewood-Sobolev lower critical growth, Complex Var. Elliptic Equ. 67 (2022) 2747-2758.
[7] G.-D. Li, Y.-Y. Li, C.-L. Tang, Existence and asymptotic behavior of ground state solutions for Schrödinger equations with Hardy potential and Berestycki-Lions type conditions, J. Differential Equations 275 (2021)77-115.
[8] Y.-Y. Li, G.-D. Li, C.-L. Tang, Existence and concentration of solutions for Choquard equations with steep potential well and doubly critical exponents, Adv. Nonlinear Stud. 21 (2021) 135-154.
[9] Y.-Y. Li, G.-D. Li, X.-P. Wu, Positive ground state solutions for Choquard equations with lower critical exponent and steep well potential, Appl. Math. Lett. 118 (2021) 7 pp.
[10] Y.-Y. Li, G.-D. Li, C.-L. Tang, Ground state solutions for a class of Choquard equations involving doubly critical exponents, Acta Math. Appl. Sin. Engl. Ser. 2 37 (2021) 820-840.
[11] G.-D. Li, Y.-Y. Li, C.-L. Tang, Existence and concentrate behavior of positive solutions for Chern-Simons-Schrödinger systems with critical growth, Complex Var. Elliptic Equ. 66 (2021)476-486.
[12] J.-C. Kang, Y.-Y. Li, C.-L. Tang, Sign-changing solutions for Chern-Simons-Schrödinger equations with asymptotically 5-linear nonlinearity, Bull. Malays. Math. Sci. Soc. 44 (2021) 711-731.
[13] Y.-Y. Li, G.-D. Li, C.-L. Tang, Existence and concentration of ground state solutions for Choquard equations involving critical growth and steep potential well, Nonlinear Anal. 200 (2020) 21 pp.
[14] Y.-Y. Li, G.-D. Li, C.-L. Tang, Ground state solutions for Choquard equations with Hardy-Littlewood-Sobolev upper critical growth and potential vanishing at infinity, J. Math. Anal. Appl. 484 (2020) 15 pp.
[15] G.-D. Li, Y.-Y. Li, X.-Q. Liu, C.-L. Tang, A positive solution of asymptotically periodic Choquard equations with locally defined nonlinearities, Commun. Pure Appl. Anal.19 (2020) 1351-1365.
[16] G.-D. Li, Y.-Y. Li, C.-L. Tang, A positive solution of asymptotically periodic Schrödinger equations with local superlinear nonlinearities, Electron. J. Qual. Theory Differ. Equ. 30(2020) 15 pp.
[17] G.-D. Li, Y.-Y. Li, C.-L. Tang, L.-F. Yin, Existence and concentrate behavior of ground state solutions for critical Choquard equations, Appl. Math. Lett. 96 (2019) 101-107.
[18] Y.-Y. Li, Y.-F. Xue, C.-L. Tang, Ground state solutions for asymptotically periodic modified Schrödinger-Poisson system involving critical exponent, Commun. Pure Appl. Anal.18 (2019) 2299-2324.