Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs-Reference-Cited by-同舟云学术

Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs

Published:2023-08-19 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Yu Xiaoli¹,Zhang Xingyong¹²^ORCID,Xie Junping³,Zhang Xuechen¹

Affiliation:

1. Faculty of Science Kunming University of Science and Technology Kunming China

2. Research Center for Mathematics and Interdisciplinary Sciences Kunming University of Science and Technology Kunming China

3. Faculty of Transportation Engineering Kunming University of Science and Technology Kunming China

Abstract

We investigate the existence of nontrivial solutions for a class of poly‐Laplacian nonlinear system with mixed nonlinearity term on a locally finite graph or a finite graph. By using the mountain pass theorem, we obtain some sufficient conditions about existence of a nontrivial solution. Our results are different from some known results even for the scalar equation on graph.

Funder

Candidate Talents Training Fund of Yunnan Province

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9621

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