团队队伍

姓 名： 彭少龙

职 称： 副教授

所属系别： 基础数学系

学科专业： 非线性泛函分析与偏微分方程

办公地点： 沙河主E604-5

电子邮箱： shaolongpeng@buaa.edu.cn

教育背景

l 2020.09-2023.06 清华大学 数学 博士 导师:郭玉霞教授

l 2017.09-2020.06 太阳集团122cc 数学 硕士 导师:戴蔚教授

l 2013.09-2017.06 山东理工大学 数学与应用数学 学士

工作简历

l 2023.08-2025.07 中科院数学与系统科学研究院-华罗庚中心 博士后 合作导师:曹道民研究员

l 2025.07-至今 太阳集团122cc 准聘副教授

科研项目

l 国家自然科学基金委员会，青年科学基金项目，12401148，非局部椭圆型方程(组)的解的分类及性质研究，2025-01至2027-12，30万元，在研，主持。

l 北京市自然科学基金委员会，面上项目，1262014，半线性与拟线性椭圆型方程(组)解的性质研究，2026-01至2028-12，20万元，在研，主持。

l 博士后创新人才支持计划A档，资助期限：2023.08至2025.07， 资助金额：64万，已结题。

代表作论著

[1] Cao, Daomin; Guo, Yuxia; Peng, Shaolong; Uniqueness theorems for solutions of mixed order elliptic system with general nonlinearity on R^4. J. Math. Pures Appl. (9) 209 (2026), Paper No. 103879.

[2] Peng, Shaolong; Classification of solutions to mixed order elliptic system with general nonlinearity. SIAM J. Math. Anal. 55 (2023), no. 4, 2774–2812.

[3] Guo, Yuxia; Peng, Shaolong; Classification of solutions to critical order elliptic system with general nonlinearity. Sci. China Math. 68 (2025), no. 4, 807–838.

[4] Liu, Zhao; Peng, Shaolong; Wang, Xinyue; Remarks on semi-linear elliptic problem involving fractional Hardy operators. Calc. Var. Partial Differential Equations. 64 (2025), no. 4, Paper No. 120.

[5] Guo, Yuxia; Hu, Yichen; Peng, Shaolong; Non-degeneracy of solution for critical Lane-Emden systems with linear perturbation. Calc. Var. Partial Differential Equations 63 (2024), no. 4, Paper No. 98, 45 pp.

[6] Peng, Shaolong; Existence and Liouville theorems for coupled fractional elliptic system with Stein–Weiss type convolution parts. Math. Z. 302 (2022), no. 3, 1593–1626.

[7] Hu, Yichen; Peng, Shaolong; Maximum principles and qualitative properties of solutions for nonlocal double phase operator. Math. Z. 306 (2024), no. 1, Paper No. 9, 47 pp

[8] Dai, Wei; Peng, Shaolong; Qin, Guolin Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane-Emden-Hardy equations. J. Anal. Math. 146 (2022), no. 2, 673–718.

[9] Guo, Yuxia; Peng, Shaolong; Maximum principles and Direct methods for tempered fractional operators. Israel Journal of Mathematics. 263 (2024), no. 2, 693–736.

[10] Guo, Yuxia; Peng, Shaolong Maximum principles and direct methods for fractional Hardy operator and applications. J. Anal. Math. 156 (2025), no. 1, 171–211.

[11] Peng, Shaolong; Sliding methods for tempered fractional parabolic problem. Canad. J. Math. 76 (2024), no. 4, 1358–1378.

[12] Guo, Yuxia; Hu, Yichen; Peng, Shaolong Local uniqueness and non-degeneracy of bubbling solution for critical Hamiltonian system. J. Differential Equations 391 (2024), 105–166.

[13] Guo, Yuxia; Hu, Yichen; Peng, Shaolong Morse index and non-degeneracy of double-tower solutions for prescribed scalar curvature problem. J. Differential Equations 451 (2026), Paper No. 113751, 48 pp.

[14] Guo, Yuxia; Peng, Shaolong; Classification of solutions to mixed order conformally invariant systems in . J. Geom. Anal. 32 (2022), no. 6, Paper No. 178, 41 pp.

[15] Guo, Yuxia; Hu, Yichen; Peng, Shaolong; Yuan, Tingfeng Asymptotic behavior of the ground-state solutions of Lane-Emden system. Bull. Lond. Math. Soc. 57 (2025), no. 1, 1–15.

[16] Guo, Yuxia; Peng, Shaolong Asymptotic behavior and classification of solutions to Hartree type equations with exponential nonlinearity. J. Geom. Anal. 34 (2024), no. 1, Paper No. 23, 21 pp.

[17] Guo, Yuxia; Peng, Shaolong; Liouville-type theorems for higher-order Lane-Emden system in exterior domains. Commun. Contemp. Math. 25 (2023), no. 5, Paper No. 2250006, 32 pp.

[18] Guo, Yuxia;Peng, Shaolong; Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system. Proc. Roy. Soc. Edinburgh Sect. A 153 (2023), no. 1, 196–228.

[19] Guo, Yuxia; Peng, Shaolong Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations. Z. Angew. Math. Phys. 72 (2021), no. 3, Paper No. 120, 20 pp.

[20] Guo, Yuxia; Hu, Yichen; Peng, Shaolong Non-degeneracy and infinitely many solutions for critical Schrödinger-Maxwell type problem. Potential Anal. 61 (2024), no. 4, 625–658.

教学活动

所获奖励

l 入选2024年度博士后创新人才支持计划

社会工作

l 受邀担任 Journal of Mathematical Analysis and Applications， Communications on Pure and Applied Analysis，Vietnam Journal of Mathematics，Journal of Mathematical Study等SCI杂志审稿人。

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