Existence results for some quasilinear parabolic problems
type: Item
instance of: scholarly article
title: Existence results for some quasilinear parabolic problems
zbMATH Open document ID: 0806.35089
DOI: 10.1007/BF01765853
author: N. Grenon
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1994-06-15T00:00:00Z
review text: We first give an existence theorem, for some equations associated with Leray-Lions operators, assuming the existence of a subsolution smaller than a supersolution. Then we prove, with an additional hypothesis on the operator, that in the previous theorem, we can replace the subsolution by two subsolutions and the supersolution by two supersolutions. Finally, we deduce the existence of a smallest and a greatest solution.
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 590110
zbMATH Keywords: Leray-Lions operators
zbMATH Keywords: subsolutions
zbMATH Keywords: supersolutions
reviewed by: Stepan Agop Tersian
MaRDI profile type: Publication
cites work: Q3222581
cites work: Existence results for some quasilinear parabolic equations
cites work: Existence of bounded solutions for non linear elliptic unilateral problems
cites work: Q3472484
cites work: Q3488529
cites work: Q3209484
cites work: Asymptotic behaviour for some quasilinear parabolic equations
cites work: Q5890172
cites work: Existence of bounded solutions of some nonlinear parabolic equations
cites work: Q4097632
cites work: Q3801958
cites work: Q3477272
cites work: Compact sets in the space \(L^ p(0,T;B)\)
description: scientific article; zbMATH DE number 590110