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Bibliographic Details
Main Authors: Ou, Xin, Zhang, Xingyong
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2306.10302
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Table of Contents:
  • We obtain the existence results of ground state sign-changing solutions and ground state solutions for a class of Kirchhoff-type equations with logarithmic nonlinearity on a locally finite graph $G=(V,E)$, and obtain the sign-changing ground state energy is larger than twice of the ground state energy. The method we used is a direct non-Nehari manifold method in [X.H. Tang, B.T. Cheng. J. Differ. Equations. 261(2016), 2384-2402.]