A variational inequality theory with applications to \(p\)-Laplacian elliptic inequalities
type: Item
instance of: scholarly article
title: A variational inequality theory with applications to \(p\)-Laplacian elliptic inequalities
zbMATH Open document ID: 1384.49012
author: Yi-rong Jiang
author: Donal O'Regan
author: Nan-Jing Huang
published in: Acta Applicandae Mathematicae
publication date: 2018-01-30T00:00:00Z
review text: In this paper, the existence, uniqueness and convergence of approximants of solutions for a class of variational inequalities with demicontinuous \(\Psi p\)-dissipative maps on unbounded closed convex subsets of reflexive smooth Banach spaces are dealt with an order to develop a variational inequality approximants principle for nonlinear maps on unbounded closed convex subsets of reflexive smooth Banach spaces. The results are new and interesting.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 35R45
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 62P30
zbMATH DE Number: 6832408
zbMATH Keywords: variational inequalities
zbMATH Keywords: nonlinear operators
zbMATH Keywords: sensitivity
zbMATH Keywords: stability
zbMATH Keywords: monotone operators
zbMATH Keywords: ordinary differential operators
zbMATH Keywords: demicontinuous \(\psi_{p}\)-dissipative map
zbMATH Keywords: \(p\)-Laplacian elliptic inequality
zbMATH Keywords: positive weak solution
reviewed by: Hengyou Lan
MaRDI profile type: Publication
full work available at URL: s10440-017-0118-1
OpenAlex ID: W2740259005
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DOI: 10.1007/S10440-017-0118-1
description: scientific article; zbMATH DE number 6832408