Variational approaches to characterize weak solutions for some problems of mathematical physics equations
type: Item
instance of: scholarly article
title: Variational approaches to characterize weak solutions for some problems of mathematical physics equations
zbMATH Open document ID: 1470.35167
DOI: 10.1155/2016/2071926
author: Irina Meghea
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: This paper is aimed at providing three versions to solve and characterize weak solutions for Dirichlet problems involving the \(p\)-Laplacian and the \(p\)-pseudo-Laplacian. In this way generalized versions for some results which use Ekeland variational principle, critical points for nondifferentiable functionals, and Ghoussoub-Maurey linear principle have been proposed. Three sequences of generalized statements have been developed starting from the most abstract assertions until their applications in characterizing weak solutions for some mathematical physics problems involving the abovementioned operators.
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 6929350
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2071926
OpenAlex ID: W2514809213
Wikidata QID: Q59121510
cites work: Q3184511
cites work: Two solutions for a problem of mathematical physics equations
cites work: Q3170520
cites work: Q2999591
cites work: Q3099187
cites work: Maximization and minimization problems related to a \(p\)-Laplacian equation on a multiply connected domain
cites work: Q3630640
cites work: Q5390140
cites work: Forced oscillation criteria for superlinear-sublinear elliptic equations via Picone-type inequality
cites work: Q4272029
cites work: Variational methods for non-differentiable functionals and their applications to partial differential equations
cites work: Critical point theory for nondifferentiable functionals and applications
cites work: On the variational principle
cites work: Variational and topological methods for Dirichlet problems with \(p\)-Laplacian
cites work: Q5734753
cites work: Q3972980
description: scientific article; zbMATH DE number 6929350