dc.creatorAutuori
dc.creatorGiuseppina; Fiseella
dc.creatorAlessio; Pucci
dc.creatorPatrizia
dc.date2015-SEP
dc.date2016-06-07T13:20:32Z
dc.date2016-06-07T13:20:32Z
dc.date.accessioned2018-03-29T01:40:32Z
dc.date.available2018-03-29T01:40:32Z
dc.identifier
dc.identifierStationary Kirchhoff Problems Involving A Fractional Elliptic Operator And A Critical Nonlinearity. Pergamon-elsevier Science Ltd, v. 125, p. 699-714 SEP-2015.
dc.identifier0362-546X
dc.identifierWOS:000358784500038
dc.identifier10.1016/j.na.2015.06.014
dc.identifierhttp://www.sciencedirect.com/science/article/pii/S0362546X15002114
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/242905
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1306603
dc.descriptionThis paper deals with the existence and the asymptotic behavior of non-negative solutions for a class of stationary Kirchhoff problems driven by a fractional integro-differential operator L-K and involving a critical nonlinearity. In particular, we consider the problem -M(parallel to u parallel to(2))L(K)u = lambda f(x, u) + vertical bar u vertical bar(2s*-2) u in Omega, u = 0 in R-n \ Omega, where Omega subset of R-n is a bounded domain, 2(s)* is the critical exponent of the fractional Sobolev space H-s(R-n), the function f is a subcritical term and lambda is a positive parameter. The main feature, as well as the main difficulty, of the analysis is the fact that the Kirchhoff function M could be zero at zero, that is the problem is degenerate. The adopted techniques are variational and the main theorems extend in several directions previous results recently appeared in the literature. (C) 2015 Elsevier Ltd. All rights reserved.
dc.description125
dc.description
dc.description
dc.description699
dc.description714
dc.descriptionItalian Project Caratterizzazione di modelli e sviluppo di codici di calcolo per il comportamento visco-termo-elastico di materiali compositi per l'edilizia sostenibile, l'efficienza energetica e la sostenibilita ambientale [UM12024L002, 10949]
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionINdAM-GNAMPA Project [Prot_2015_000368]
dc.descriptionMIUR [201274FYK7]
dc.description
dc.description
dc.description
dc.languageen
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.publisher
dc.publisherOXFORD
dc.relationNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
dc.rightsembargo
dc.sourceWOS
dc.subjectBrezis-nirenberg Result
dc.subjectSobolev Spaces
dc.subjectEquations
dc.subjectLaplacian
dc.subjectFunctionals
dc.subjectExistence
dc.titleStationary Kirchhoff Problems Involving A Fractional Elliptic Operator And A Critical Nonlinearity
dc.typeArtículos de revistas


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