Infinitely Many Solutions for Partial Discrete Kirchhoff Type Problems Involving p-Laplacian-Reference-Cited by-同舟云学术

Infinitely Many Solutions for Partial Discrete Kirchhoff Type Problems Involving p-Laplacian

Published:2023-07-26 Issue:15 Volume:11 Page:3288
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Xiong Feng¹²

Affiliation:

1. Department of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China

2. College of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, China

Abstract

In this paper, the existence of infinitely many solutions for the partial discrete Kirchhoff-type problems involving p-Laplacian is proven by exploiting the critical point theory for the first time. Moreover, by using the strong maximum principle, we acquire some sufficient conditions for the presence of infinitely many positive solutions to the boundary value problems. Our major outcomes are explained with one example.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/15/3288/pdf

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