Work

Least energy sign-changing solutions for asymptotically cubic Kirchhoff equations on locally finite graphs

Year: 2026

Type: preprint

Abstract: We obtain the existence results of least energy sign-changing solutions and ground state solutions for a class of asymptotically cubic Kirchhoff equations with Dirichlet boundary value on a locally finite graph $G=(V,E)$, and obtain the least energy of sign-changing solutions is strictly larger than twice of the ground state energy.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.12526

Authors: An, Shuai, Xie, Junping, Zhang, Xingyong

Institution: Kunming University of Science and Technology

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Kunming University of Science and Technology, Yunnan Provincial Department of Education

OpenAlex ID: W7213159184

Cites: 1

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Related to: 10