Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (1): 1-30.

• Original article •     Next Articles

Normalized Solutions to a $p$-Laplacian Equation with an $L^2$ Constraint: The Mass Supercritical Case

Yulu Tian*(), Dengshan Wang(), Liang Zhao()   

  1. School of Mathematical Sciences Key Laboratory of Mathematics and Complex Systems of MOE, Beijing Normal University, Beijing 100875
  • Received:2024-05-22 Revised:2025-05-01 Online:2026-02-26 Published:2026-01-19
  • Contact: Yulu Tian E-mail:tianyl@mail.bnu.edu.cn;dswang@bnu.edu.cn;liangzhao@bnu.edu.cn
  • Supported by:
    NSFC(12271039);NSFC(12371247);Open Project Program of Key Laboratory of Mathematics and Complex Systems, Beijing Normal University(K202303)

Key words: $p$-Laplacian equation, normalized solution, ground state energy, mass constraint

CLC Number: 

  • O175.29
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