The multiplicity of nontrivial solutions for a new \(p(x)\)-Kirchhoff-type elliptic problem
type: Item
instance of: scholarly article
title: The multiplicity of nontrivial solutions for a new \(p(x)\)-Kirchhoff-type elliptic problem
zbMATH Open document ID: 1473.35259
DOI: 10.1155/2021/1569376
author: Changmu Chu
author: Yu-Xia Xiao
published in: Journal of Function Spaces
publication date: 2021-08-31T00:00:00Z
review text: Summary: In the paper, we study the existence of weak solutions for a class of new nonlocal problems involving a \(p(x)\)-Laplacian operator. By using Ekeland's variational principle and mountain pass theorem, we prove that the new \(p(x)\)-Kirchhoff problem has at least two nontrivial weak solutions.
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 7388489
zbMATH Keywords: \(p(x)\)-Laplacian
zbMATH Keywords: Kirchhoff-type equation
zbMATH Keywords: existence
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/1569376
OpenAlex ID: W3173588751
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description: scientific article; zbMATH DE number 7388489