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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F14%3A10282705%21RIV15-MSM-11320___
rdf:type
n11:Vysledek skos:Concept
rdfs:seeAlso
http://dx.doi.org/10.1515/acv-2012-0002
dcterms: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.
dcterms: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
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
skos:notation
RIV/00216208:11320/14:10282705!RIV15-MSM-11320___
n4:aktivita
n18:P n18:I
n4:aktivity
I, P(GA201/09/0917)
n4:cisloPeriodika
2
n4:dodaniDat
n10:2015
n4:domaciTvurceVysledku
n17:7024398
n4:druhVysledku
n20:J
n4:duvernostUdaju
n12:S
n4:entitaPredkladatele
n9:predkladatel
n4:idSjednocenehoVysledku
15535
n4:idVysledku
RIV/00216208:11320/14:10282705
n4:jazykVysledku
n5:eng
n4:klicovaSlova
Holder continuity; Noether equation; regularity; Nonlinear elliptic systems
n4:klicoveSlovo
n8:Nonlinear%20elliptic%20systems n8:Noether%20equation n8:Holder%20continuity n8:regularity
n4:kodStatuVydavatele
DE - Spolková republika Německo
n4:kontrolniKodProRIV
[3DCFFE868A49]
n4:nazevZdroje
Advances in Calculus of Variations
n4:obor
n19:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
3
n4:projekt
n14:GA201%2F09%2F0917
n4:rokUplatneniVysledku
n10:2014
n4:svazekPeriodika
7
n4:tvurceVysledku
Bulíček, Miroslav Steinhauer, Mark Frehse, Jens
n4:wos
000334276800001
s:issn
1864-8258
s:numberOfPages
65
n16:doi
10.1515/acv-2012-0002
n3:organizacniJednotka
11320