Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs

Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs

Abstract In this paper, we investigate the existence and multiplicity of nontrivial solutions for poly-Laplacian system on a finite graph G = ( V , E ) $G=(V, E)$ , which is a generalization of the Yamabe equation on a finite graph. When the nonlinear term F satisfies the super- ( p , q ) $(p, q)$ -...

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Bibliographic Details
Main Authors: Xuechen Zhang, Xingyong Zhang, Junping Xie, Xiaoli Yu
Format: Article
Language:English
Published: SpringerOpen 2022-05-01
Series:Boundary Value Problems
Subjects:
Mountain pass theorem
Poly-Laplacian system
Finite graph
Super- ( p , q ) $(p, q)$ -linear growth condition
Online Access:https://doi.org/10.1186/s13661-022-01613-1

Internet

https://doi.org/10.1186/s13661-022-01613-1

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