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Publications

Journal Publications

  1. Peng X.Q.* (2026). Existence and multiplicity of normalized solutions for the planar Schrödinger-Poisson system with exponential critical growth. Acta Mathematica Sinica, English Series, 46(2): 1-20.
  2. 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.
  3. Liu T.H., Peng X.Q.*, Zou W.M. (2025). Normalized solution for the logarithmic Schrödinger system. Journal of Geometric Analysis, 35:215.
  4. Peng X.Q., Huang C.* (2025). Sign-changing solutions for the Schrödinger-Bopp-Podolsky system. Applicable Analysis. DOI: 10.1080/00036811.2025.2502974.
  5. Peng X.Q.* (2024). Existence and multiplicity of solutions for the Schrödinger-Poisson equation with prescribed mass. Analysis and Mathematical Physics, 14:102.
  6. Peng X.Q.* (2024). Normalized solutions for the critical Schrödinger-Bopp-Podolsky system. Bulletin of the Malaysian Mathematical Sciences Society, 47:9.
  7. 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.
  8. Zhang X., Huang C.*, Peng X.Q. (2023). A variant of symmetric Mountain Pass Theorem and its applications for generalized quasi-linear elliptic equations. Complex Variables and Elliptic Equations, 69(2):1-19.
  9. 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.
  10. Peng X.Q.* (2022). Existence and multiplicity of solutions for the Schrödinger-Bopp-Podolsky system. Bulletin of the Malaysian Mathematical Sciences Society, 45:3423-3468.
  11. Peng X.Q., Jia G.*, Huang C. (2022). Quasilinear Schrödinger-Poisson system with exponential and logarithmic nonlinearities. Mathematical Methods in the Applied Sciences, 1-17.
  12. Peng X.Q.*, Jia G. (2022). Existence and asymptotical behavior of positive solutions for the Schrödinger-Poisson system with double quasi-linear terms. Discrete and Continuous Dynamical Systems - Series B, 27(4):2325-2344.
  13. Peng X.Q.*, Jia G. (2021). Existence and concentration behavior of solutions for the logarithmic Schrödinger-Bopp-Podolsky system. Zeitschrift für angewandte Mathematik und Physik, 72:198.
  14. Peng X.Q., Jia G.*, Huang C. (2021). Sign-changing solutions for modified Schrödinger-Poisson system with general nonlinearity. Complex Variables and Elliptic Equations, 67(11):2770-2794.
  15. Peng X.Q., Jia G.*, Huang C. (2020). Multiplicity of solutions for Schrödinger-Poisson system with critical exponent in R^3. AIMS Mathematics, 6(3):2059-2077.

Preprints

  1. Peng X.Q.*, Zou W.M. (2026): Normalized solutions for the Schrödinger equation with weakly attractive potential: Sobolev critical case.
  2. Peng X.Q., Rizzi M.* (2026): Normalized solutions for the nonlinear Schrödinger equation with potentials.