About: <<A>> Bifurcation problem for the principal eigencurve of the p-Laplacian

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We study the following bifurcation problem in any bounded domain \Omega in \R^N -\Delta_pu -\lambda m(x)\|u\|^{p-2}u=\mu\|u\|^{p-2}u+f(x,u,\lambda,\mu),u\inW^{1,p}_0(\Omega). We prove that for any \lambda \in \R, the principal eigenvalue \mu_1(\lambda) of te eigenvalue problem: -\Delta_pu - \lambda m(x)\|u\|^{p-2} u=\mu\|u\|^{p-2} u in \Omega, u\in W^{1,p}_0 (\Omega), is a bifurcation point of the problem mentioned above. We study the following bifurcation problem in any bounded domain \Omega in \R^N -\Delta_pu -\lambda m(x)\|u\|^{p-2}u=\mu\|u\|^{p-2}u+f(x,u,\lambda,\mu),u\inW^{1,p}_0(\Omega). We prove that for any \lambda \in \R, the principal eigenvalue \mu_1(\lambda) of te eigenvalue problem: -\Delta_pu - \lambda m(x)\|u\|^{p-2} u=\mu\|u\|^{p-2} u in \Omega, u\in W^{1,p}_0 (\Omega), is a bifurcation point of the problem mentioned above. (en)
Title	<> Bifurcation problem for the principal eigencurve of the p-Laplacian <> Bifurcation problem for the principal eigencurve of the p-Laplacian (en)
skos:prefLabel	<> Bifurcation problem for the principal eigencurve of the p-Laplacian <> Bifurcation problem for the principal eigencurve of the p-Laplacian (en)
skos:notation	RIV/49777513:23520/99:00044276!RIV/2000/MSM/235200
http://linked.open.../vavai/riv/strany	399
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/97/0395), P(VS97156), Z(MSM 235200001)
http://linked.open...iv/cisloPeriodika	no.^3-4
http://linked.open...vai/riv/dodaniDat	2000
http://linked.open...aciTvurceVysledku	Drábek, Pavel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	733955
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/99:00044276
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open...odStatuVydavatele	MY - Malajsie
http://linked.open...ontrolniKodProRIV	[0BE72009D052]
http://linked.open...i/riv/nazevZdroje	Applicable analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Topological and variational methods for nonlinear boundary value problems Centre of Applied Mathematics
http://linked.open...UplatneniVysledku	1999
http://linked.open...v/svazekPeriodika	vol.^72
http://linked.open...iv/tvurceVysledku	Drábek, Pavel Elkhalil, A. Touzani, A.
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20235200001
number of pages	12 (xsd:int)
http://localhost/t...ganizacniJednotka	23520

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