Variational integrals of a class of nonhomogeneous \(\mathcal{A}\)-harmonic equations
type: Item
instance of: scholarly article
title: Variational integrals of a class of nonhomogeneous \(\mathcal{A}\)-harmonic equations
zbMATH Open document ID: 1474.35321
DOI: 10.1155/2014/697974
author: Guanfeng Li
author: Yong Wang
author: Gejun Bao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We introduce a class of variational integrals whose Euler equations are nonhomogeneous \(\mathcal{A}\)-harmonic equations. We investigate the relationship between the minimization problem and the Euler equation and give a simple proof of the existence of some nonhomogeneous \(\mathcal{A}\)-harmonic equations by applying direct methods of the calculus of variations. Besides, we establish some interesting results on variational integrals.
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J87
zbMATH DE Number: 7022903
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/697974
OpenAlex ID: W2073679258
Wikidata QID: Q59040715
cites work: Q4703114
cites work: Resolubility of ideal boundary for nonlinear Dirichlet problems
cites work: Q4693180
cites work: Q5531981
cites work: Another Proof that Convex Functions are Locally Lipschitz
description: scientific article; zbMATH DE number 7022903