Ground state sign-changing solutions for Kirchhoff-type equations with logarithmic nonlinearity on locally finite graphs

2023/06/17 by Xin Ou, Xingyong Zhang, Ou, Xin +1
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Opinion Dynamics and Social Influence #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2306.10302

openalex publication_date 2023/06/17 · openalex created_date 2023/06/22 · openalex updated_date 2026/07/28

Abstract

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.]

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