About: Everywhere C-alpha-estimates for a class of nonlinear elliptic systems with critical growth

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1515/acv-2012-0002
Description	We obtain everywhere C-alpha-regularity for vector solutions to a class of nonlinear elliptic systems whose principal part is the Euler operator to a variational integral with quadratic growth in gradient of the unknown and which satisfies a generalized splitting condition and the one-sided condition. If the leading operator is not necessarily elliptic but coercive, possible minima are everywhere Holder continuous and the same holds also for Noether solutions, i.e., extremals which are also stationary with respect to inner variations.The technique of our proof (using weighted norms and inhomogeneous hole-filling method) does not rely on L-infinity-a priori estimates for the solution. We obtain everywhere C-alpha-regularity for vector solutions to a class of nonlinear elliptic systems whose principal part is the Euler operator to a variational integral with quadratic growth in gradient of the unknown and which satisfies a generalized splitting condition and the one-sided condition. If the leading operator is not necessarily elliptic but coercive, possible minima are everywhere Holder continuous and the same holds also for Noether solutions, i.e., extremals which are also stationary with respect to inner variations.The technique of our proof (using weighted norms and inhomogeneous hole-filling method) does not rely on L-infinity-a priori estimates for the solution. (en)
Title	Everywhere C-alpha-estimates for a class of nonlinear elliptic systems with critical growth Everywhere C-alpha-estimates for a class of nonlinear elliptic systems with critical growth (en)
skos:prefLabel	Everywhere C-alpha-estimates for a class of nonlinear elliptic systems with critical growth Everywhere C-alpha-estimates for a class of nonlinear elliptic systems with critical growth (en)
skos:notation	RIV/00216208:11320/14:10282705!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA201/09/0917)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Bulíček, Miroslav
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	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	15535
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/14:10282705
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Holder continuity; Noether equation; regularity; Nonlinear elliptic systems (en)
http://linked.open.../riv/klicoveSlovo	regularity Holder continuity Noether equation Nonlinear elliptic systems
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[3DCFFE868A49]
http://linked.open...i/riv/nazevZdroje	Advances in Calculus of Variations
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	Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	7
http://linked.open...iv/tvurceVysledku	Bulíček, Miroslav Frehse, Jens Steinhauer, Mark
http://linked.open...ain/vavai/riv/wos	000334276800001
issn	1864-8258
number of pages	65 (xsd:int)
http://bibframe.org/vocab/doi	10.1515/acv-2012-0002
http://localhost/t...ganizacniJednotka	11320

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