Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (3): 1092-1104.

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Existence of Solutions for Schrödinger Systems with Logarithmic Terms

Jing Zhang*(), Mingwei Xiu   

  1. School of Mathematics, Harbin Normal University, Harbin 150025
  • Received:2025-03-13 Revised:2025-06-27 Online:2026-06-26 Published:2026-06-16
  • Contact: Jing Zhang E-mail:zhjmath11@163.com
  • Supported by:
    NSFC(12561040);NSFC(12061040)

Abstract:

In this paper, we study the existence of solutions for a class of logarithmic Schrödinger systems with critical perturbations. We obtain the existence of ground state solutions by constructing auxiliary functional and applying variational method, critical point theory and concentrated compactness principle.

Key words: logarithmic Schr?dinger system, ground state solution, variational method, critical perturbations.

CLC Number: 

  • O177.91
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