About Me
I am currently a Postdoctoral Researcher at the University of Innsbruck under the supervision of Prof. Birgit Schörkhuber.
My research focuses on Calculus of Variations and Partial Differential Equations, particularly nonlinear Schrödinger equations and related elliptic problems.
Academic Experience
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Postdoctoral Researcher
Supervisor: Prof. Birgit Schörkhuber
University of Innsbruck, Austria
July 2026 - Present
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Visiting Postdoctoral Researcher
Supervisor: Prof. Tobias Weth
Goethe-University Frankfurt, Germany
November 2025 - May 2026
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Postdoctoral Researcher
Supervisor: Prof. Wenming Zou
Tsinghua University, China
May 2024 - May 2026
Education
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Visiting Ph.D. Student
Supervisor: Prof. Thomas Bartsch
University of Giessen, Germany
January 2023 - January 2024
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Ph.D. in Mathematics
Supervisor: Prof. Gao Jia
University of Shanghai for Science and Technology, China
September 2018 - March 2024
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B.Sc. in Mathematics
Hefei University, China
September 2014 - July 2018
Selected Publications
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Peng X.Q., Rizzi M. (2025).
Normalized solutions of mass supercritical Schrödinger-Poisson equation with potential.
Calculus of Variations and Partial Differential Equations, 64:152.
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Liu T.H., Peng X.Q., Zou W.M. (2025).
Normalized solution for the logarithmic Schrödinger system.
Journal of Geometric Analysis, 35:215.
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Peng X.Q., Jia G. (2023).
Existence and concentration behavior of solutions for the logarithmic Schrödinger-Poisson system with steep potential.
Zeitschrift für angewandte Mathematik und Physik, 74:29.
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Peng X.Q. (2022).
Existence and concentration behavior of solutions for the logarithmic Schrödinger-Poisson system via penalization method.
Journal of Mathematical Analysis and Applications, 513, 126249.
View all publications →
Grants and Awards
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China Postdoctoral Science Foundation
Postdoctoral Grant, 2025.
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China Scholarship Council Fellowship
Fellowship for Visiting Ph.D. Study, 2022.
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Outstanding Doctoral Student Incentive Program
University-funded Research Grant, 2022.
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National Doctoral Scholarship
National Scholarship for Ph.D. Students, 2021.
Talks
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Postdoc Workshop, Tsinghua University, October 2024.
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Doctoral Thesis Defence, USST (online), November 2023.
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Semiclassical Problem, Goethe-University Frankfurt, May 2023.
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Logarithmic Schrödinger-Poisson System, University of Giessen, February 2023.
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General Talk, USST (online), September 2022.