The neumann problem for quasilinear differential equations

Cardinali, T; Papageorgiou, NS; Servadei, R

dc.contributor.author	Cardinali, T	en
dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Servadei, R	en
dc.date.accessioned	2014-03-01T01:21:38Z
dc.date.available	2014-03-01T01:21:38Z
dc.date.issued	2004	en
dc.identifier.issn	00448753	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16279
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dc.relation.uri	http://www.emis.math.ca/EMIS/journals/AM/04-4/am1140.pdf	en
dc.subject	Differential Equation	en
dc.subject	Neumann Problem	en
dc.subject	Penalty Function	en
dc.title	The neumann problem for quasilinear differential equations	en
heal.type	journalArticle	en
heal.publicationDate	2004	en
heal.abstract	In this note we prove the existence of extremal solutions of the quasilinear Neumann problem -(\|x′(t)\|p-2x′(t))′ = f(t, x(t), x′(t)), a.e. on T, x′(0) = x′(b) = 0, 2 ≤ p < ∞ in the order interval [ψ, φ], where ψ and φ are respectively a lower and an upper solution of the Neumann problem. upper solution, lower solution, order interval, truncation function, penalty function, pseudomonotone operator, coercive operator, Leray-Schauder principle, maximal solution, minimal solution.	en
heal.journalName	Archivum Mathematicum	en
dc.identifier.volume	40	en
dc.identifier.issue	4	en
dc.identifier.spage	321	en
dc.identifier.epage	333	en