About: Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/cocv/2012/volume_18/issue_4/w
Subject	Fractals Variational methods for second-order elliptic equations Boundary value problems for second-order elliptic equations Nonlinear elliptic equations Variational methods Nonsmooth analysis Dirichlet form nonlinear elliptic equation Sierpiński gasket weak Laplacian
Title	Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
Date	2012-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/cocv/2012/volume_18/issue_4/cocv110103/m/web http://hub.abes.fr/edp/periodical/cocv/2012/volume_18/issue_4/cocv110103/m/print
related by	http://hub.abes.fr/edp/periodical/cocv/2012/volume_18/issue_4/cocv110103/authorship/3 http://hub.abes.fr/edp/periodical/cocv/2012/volume_18/issue_4/cocv110103/authorship/2 http://hub.abes.fr/edp/periodical/cocv/2012/volume_18/issue_4/cocv110103/authorship/1
Author	Bisci, Giovanni Molica Rădulescu Vicenţiu Bonanno, Gabriele
Abstract	Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpiński gasket is proved. Our approach is based on variational methods and on some analytic and geometrical properties of the Sierpiński fractal. The abstract results are illustrated by explicit examples.
article type	research-article
publisher identifier	cocv110103
Date Copyrighted	2012-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2012
Rights Holder	EDP Sciences, SMAI
is part of this journal	ESAIM: Control, Optimisation and Calculus of Variations
is primary topic of	http://hub.abes.fr/edp/periodical/cocv/2012/volume_18/issue_4/cocv110103/w/record

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