A sub-supersolution approach for Neumann boundary value problems with gradient dependence
type: Item
instance of: scholarly article
title: A sub-supersolution approach for Neumann boundary value problems with gradient dependence
zbMATH Open document ID: 1437.35357
author: Angela Sciammetta
author: Elisabetta Tornatore
author: Dumitru Motreanu
published in: Nonlinear Analysis. Real World Applications
publication date: 2020-04-15T00:00:00Z
review text: This paper is concerned with the qualitative analysis of solutions for a class of quasilinear elliptic problems with Neumann boundary condition. A feature of this paper is the presence of a very general differential operator and the competition effects created by a reaction with gradient term and a power-type nonlinearity. The authors are concerned with the existence and location of solutions by using a non-variational approach based on an adequate method of sub-supersolution. The main abstract results of this paper is applied to establish the existence of finitely many positive solutions or even infinitely many positive solutions for a class of Neumann problems.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 7189400
zbMATH Keywords: quasilinear elliptic equation
zbMATH Keywords: Neumann problem
zbMATH Keywords: gradient dependence
zbMATH Keywords: sub-supersolution
zbMATH Keywords: positive solution
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2020.103096
OpenAlex ID: W3004333380
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DOI: 10.1016/J.NONRWA.2020.103096
description: scientific article; zbMATH DE number 7189400