Nonlinear nonhomogeneous Robin problems with dependence on the gradient
type: Item
instance of: scholarly article
title: Nonlinear nonhomogeneous Robin problems with dependence on the gradient
zbMATH Open document ID: 1407.35083
author: Yunru Bai
author: Leszek Gasiński
author: Nikolaos S. Papageorgiou
published in: Boundary Value Problems
publication date: 2018-12-20T00:00:00Z
review text: This paper deals with a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Robin boundary condition and a convection term. The authors establish the existence of a smooth positive solution without imposing any global growth condition on the reaction term. The arguments combine a topological approach based on the Leray-Schauder alternative principle and suitable truncation and comparison techniques. The reviewer considers that the paper under review is a nice piece of work in the qualitative theory of nonlinear elliptic equations.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 6996325
zbMATH Keywords: nonhomogeneous differential operator
zbMATH Keywords: Robin boundary condition
zbMATH Keywords: convection term
zbMATH Keywords: smooth positive solution
zbMATH Keywords: Leray-Schauder alternative theorem
MaRDI profile type: Publication
full work available at URL: s13661-018-0936-8
OpenAlex ID: W2789519079
Wikidata QID: Q112251719
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DOI: 10.1186/S13661-018-0936-8
description: scientific article; zbMATH DE number 6996325