魏元鸿 照片

魏元鸿

教授 博导

所属大学: 吉林大学

所属学院: 数学学院

邮箱:
weiyuanhong@jlu.edu.cn

个人主页:
http://math.jlu.edu.cn/info/1342/8970.htm

个人简介

2010/10-2012/08,中国科学院,数学所,博士后 2012/08-2015/09,吉林大学,数学学院,讲师 2015/09-2020/09,吉林大学,数学学院,副教授 2020/09-至今,吉林大学,数学学院,教授 2018/09-,博士生导师

研究领域

动力系统、非线性分析

近期论文

Liouville theorems for elliptic equations involving regional fractional Laplacian with order in (0, 1/2). Differential and Integral Equations, 38(2025), no. 1-2, 1-22. (Joint work with Huyuan Chen) On some regularity properties of mixed local and nonlocal elliptic equations. J. Differential Equations, 416(2025), 576–613. (Joint work with Xifeng Su, Enrico Valdinoci and Jiwen Zhang) Sparse gradient bounds for divergence form elliptic equations. J. Differential Equations, 413(2024), 606–631. (Joint work with Olli Saari and Hua-yang Wang) Multiple solutions for mixed local and nonlocal elliptic equations. Math. Z. 308 (2024), no. 40, 1-37. (Joint work with Xifeng Su, Enrico Valdinoci and Jiwen Zhang) Regularity results for solutions of mixed local and nonlocal elliptic equations. Math. Z. 302 (2022), no. 3, 1855–1878. (Joint work with Xifeng Su, Enrico Valdinoci and Jiwen Zhang) Superlinear elliptic equation with mixed boundary value in annular domain. Acta Math. Sin. (Engl. Ser.) 37 (2021), no. 10, 1549–1559. (Joint work with Jian Tian) Liouville property of fractional Lane-Emden equation in general unbounded domain. Adv. Nonlinear Anal. 10 (2021), no. 1, 494–500. (Joint work with Ying Wang) Radial solution of asymptotically linear elliptic equation with mixed boundary value in annular domain. J. Appl. Anal. Comput. 10 (2020), no. 6, 2787–2805. (Joint work with Jian Tian) Asymptotically linear and superlinear elliptic equations with gradient terms. Electron. J. Differential Equations 2020, Paper No. 99, 14 pp. (Joint work with Jian Tian) Nondegeneracy of solutions for a critical Hartree equation. Nonlinear Anal. 199 (2020), 111969, 12 pp. (Joint work with Jacques Giacomoni and Minbo Yang) Existence of radial solutions for nonlinear elliptic equations with gradient terms in annular domains. Nonlinear Anal. 187 (2019), 93–109. (Joint work with Xu Dong) On a class of non-local elliptic equations with asymptotically linear term. Discrete Contin. Dyn. Syst. 38 (2018), no. 12, 6287–6304. (Joint work with Xifeng Su) On concentration of semi-classical solitary waves for a generalized Kadomtsev-Petviashvili equation. Discrete Contin. Dyn. Syst. Ser. S 10 (2017), no. 5, 1095–1106. (Joint work with Yong Li and Xue Yang) Multiplicity of solutions for non-local elliptic equations driven by the fractional Laplacian. Calc. Var. Partial Differential Equations 52 (2015), no. 1-2, 95–124. (Joint work with Xifeng Su) Existence and uniqueness of periodic solutions for second order differential equations. J. Funct. Spaces 2014, Art. ID 246258, 5 pp. Existence of solutions for singularly perturbed Hamiltonian elliptic systems with nonlocal nonlinearities. Topol. Methods Nonlinear Anal. 43 (2014), no. 2, 385–402. (Joint work with Minbo Yang) Existence of solutions for a system of diffusion equations with spectrum point zero. Z. Angew. Math. Phys. 65 (2014), no. 2, 325–337. (Joint work with Minbo Yang) Existence of semiclassical states for a coupled Schrödinger system with potentials and nonlocal nonlinearities. Z. Angew. Math. Phys. 65 (2014), no. 1, 41–68. (Joint work with Minbo Yang and Yanheng Ding) Existence and multiplicity of solutions for nonlinear Schrödinger equations with magnetic field and Hartree type nonlinearities. J. Math. Anal. Appl. 403 (2013), no. 2, 680–694. (Joint work with Minbo Yang) Multiplicity results for some fourth-order elliptic equations. J. Math. Anal. Appl. 385(2012)797-807.