Multiplicity of positive solutions for some quasilinearDirichlet problems on bounded domains in Rn

URI	http://purl.tuc.gr/dl/dias/E5420A8D-76F7-4042-9356-DC4E6C61ED51	-
Identifier	http://www.emis.ams.org/journals/CMUC/pdf/cmuc0304/kandilyb.pdf	-
Language	en	-
Extent	13	en
Title	Multiplicity of positive solutions for some quasilinear Dirichlet problems on bounded domains in Rn	en
Creator	Kandylakis Dimitrios	en
Creator	Κανδυλακης Δημητριος	el
Creator	Lyberopoulos Athanasios	en
Description	Δημοσίευση σε επιστημονικό περιοδικό	el
Content Summary	We show that, under appropriate structure conditions, the quasilinear Dirichlet problem ( − div(\|∇u\| p−2∇u) = f(x, u), x ∈ Ω, u = 0, x ∈ ∂Ω, where Ω is a bounded domain in Rn, 1 < p < +∞, admits two positive solutions u0, u1 in W1,p 0 (Ω) such that 0 < u0 ≤ u1 in Ω, while u0 is a local minimizer of the associated Euler-Lagrange functional	en
Type of Item	Peer-Reviewed Journal Publication	en
Type of Item	Δημοσίευση σε Περιοδικό με Κριτές	el
License	http://creativecommons.org/licenses/by/4.0/	en
Date of Item	2015-10-29	-
Date of Publication	2003	-
Subject	p-Laplacian	en
Subject	positive solutions	en
Subject	sub- and supersolutions	en
Subject	local minimizers	en
Subject	Palais-Smale condition	en
Bibliographic Citation	D.A. Kandilakis, A.N. Lyberopoulos, "Multiplicity of positive solutions for some quasilinear Dirichlet problems on bounded domains in Rn," Comm. Math. Univ. Carolinae, vol. 44, no. 4, pp. 645–658, 2003.	en

Export

Metadata & Content in a METS Package:

Metadata in Format: