Welcome to my Math Home!

Wir müssen wissen, Wir werden wissen!

-David Hilbert

Zhipeng Yang

Zhipeng Yang

Assistant Professor

Yunnan Normal University

Biography

I received my PhD in 2022 from Mathematisches Institut at University of Göttingen, under the supervision of Professor Ingo Witt. Now, I am an assistant professor of mathematics at Yunnan Normal University.

PDF version of my Vitae can be found here.

Interests

  • Harmonic Analysis and nonlinear Partial Differential Equations
  • Variational Methods
  • Analysis on homogeneous groups

Education

  • Ph.D. in Mathematics, 2019.09 -- 2022.04

    University of Göttingen

  • M.Sc. in Mathematics, 2015.09 -- 2018.06

    Yunnan Normal University

  • B.Sc. in Mathematics, 2011.09 -- 2015.06

    Harbin Normal University

Popular Topics

Choquard equation Fractional Schrödinger equation Heat equation Kirchhoff equation nonlocal problem Schrödinger system Schrödinger–Poisson

Recent Publications

Guangze Gu, Zhipeng Yang (2022). On the singularly perturbation fractional Kirchhoff equations: critical case. Adv. Nonlinear Anal. 11 (2022), no. 1, 1097–1116.

PDF DOI

Zhipeng Yang (2022). Non-degeneracy of positive solutions for fractional Kirchhoff problems: high dimensional cases. J. Geom. Anal. 32 (2022), no. 4, Paper No. 139, 24 pp.

PDF DOI

Guangze Gu, Zhipeng Yang (2022). Positive eigenfunctions of a class of fractional Schrödinger operator with a potential well. Differential Integral Equations 35 (2022), no. 1-2, 123–150.

PDF DOI

Yongpeng Chen, Zhipeng Yang (2021). Multiplicity of solutions for a class of critical Schrödinger-Poisson system with two parameters. Acta Math. Sci. Ser. A (Chinese Ed.) 41 (2021), no. 6, 1750–1767.

PDF DOI

Zhipeng Yang, Yuanyang Yu (2021). Existence and concentration of solution for Schrödinger-Poisson system with local potential. Partial Differ. Equ. Appl. 2 (2021), no. 4.

PDF DOI

See all publications

Teaching & Notes

The course I used to teach

Seminar on Nilpotent Lie groups

In WiSe 2019/20, we orginaze a seminar on Nilpotent Lie groups. We mainly study homegeneous Lie group and Rockland operator.
Last updated on Nov 12, 2020 0 min read

What is Hypoellipticity?

Last updated on Nov 12, 2020 0 min read

Lecture Notes on Perfect Incompressible Fluids

In WiSe 2019/20, we read J.-Y. Chemin “Perfect incompressible fluids.” Oxford Lecture Ser. Math. Appl., 14. Clarendon Press, Oxford, 2006.
Last updated on Nov 12, 2020 0 min read

Recent & Upcoming Talks

Harmonic analysis on 2-step stratified Lie groups without the Moore-Wolf condition

Feb 21, 2022 — Feb 25, 2022 University of Potsdam
Slides

Existence and concentration behavior of solutions for some fractional Schrödinger-Poisson systems

Feb 10, 2020 — Feb 14, 2020 University of Potsdam
Slides

On fractional Schrödinger-Poisson system

Jan 10, 2020 — Jan 12, 2020 University of Göttingen
Slides

Contact