姓 名： 彭发
职 称： 准聘副教授
所属系别： 基础数学系
学科专业： 偏微分方程
办公地点：沙河E601-4
办公电话：
电子邮箱：fapeng@buaa.edu.cn
教育背景
l 2012.09-2016.07，陕西师范大学, 数学与统计学院，学士
l 2016.09-2021.11， 北京航空航天大学, 数学科学学院，博士，导师：周渊 教授，副导师：严夺魁 教授
工作简历
l 2022.02-2023.11，中国科学院数学与系统科学研究院, 博士后 合作导师：张翼 研究员
l 2023.12-至今，北京航空航天大学，数学科学学院，准聘副教授
科研项目
l 国家自然科学青年基金, 项目名称：半线性椭圆方程稳定解的最优正则性及刘维尔性质研究，主持, 资助期限：2023.01-2025.12 资助金额：30万
l 博士后创新人才支持计划, 主持, 资助期限： 2022.07-2023.11 结题, 资助金额：63万
代表作论著
l Dong, Hongjie; Peng, Fa; Zhang, Ru-Ya Yi; Zhou, Yuan; Jacobian determinants for nonlinear gradient of planar ∞-harmonic functions and applications. J. Reine Angew. Math. (2024), 59–98.
l Peng, Fa; Zhang, Ru-Ya Yi ; Zhou, Yuan, Optimal regularity & Liouville property for stable solutions to semilinear elliptic equations in $\mathbb R^n$ with $n\ge10$, To appear in Analysis & PDE.
l Peng, Fa, The boundedness of stable solutions to semilinear elliptic equations with linear lower bound on nonlinearities, Int. Math. Res. Not. IMRN 2024, no. 8, 6350–6373.
l Dong, Hongjie; Peng, Fa; Zhang, Ru-Ya Yi ; Zhou, Yuan, Hessian estimates for equations involving p-Laplacian via a fundamental inequality. Adv. Math. 370 (2020), 107212, 40 pp.
l Miao, Qianyun; Peng, Fa; Zhou, Yuan， A global second-order Sobolev regularity for p-Laplacian type equations with variable coefficients in bounded domains. Calc. Var. Partial Differential Equations 62 (2023), no. 7, Paper No. 191, 36 pp.
l Miao, Qianyun; Peng, Fa; Zhou, Yuan, A quantitative Sobolev regularity for absolute minimizers involving Hamiltonian H(p) in plane. SIAM J. Math. Anal. 54 (2022), no. 6, 5792–5853.
l Peng, Fa; Miao, Qianyun; Zhou, Yuan, Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)∈C1,1(Rn) with n≥3. J. Funct. Anal. 280 (2021), no. 3, Paper No. 108829, 31 pp.
l Peng, Fa; Wang, Changyou; Zhou, Yuan, Regularity of absolute minimizers for continuous convex Hamiltonians. J. Differential Equations 274 (2021), 1115–1164.
l Liu, Jiayin; Peng, Fa; Zhou, Yuan, HW2,2loc-regularity for p-harmonic functions in Heisenberg groups. Adv. Calc. Var. 16 (2023), no. 2, 379–390.
教学活动
l
所获奖励
l 入选2022年博士后创新人才支持计划
社会工作
l Annales Academiae Scientiarum Fennicae Mathematica、Journal of Mathematical Study等期刊审稿人
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