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Description
  • We consider weak solutions to the Dirichlet problem for nonlinear elliptic systems. Under suitable conditions on the coefficients of the systems we obtain everywhere Holder regularity on the interior for the gradients of weak solutions. Our sufficient condition for the regularity works even though an excess of the gradient of solution is not very small. More precise partial regularity on the interior can be deduced from our main result. The main result is illustrated through examples at the end of this article.
  • We consider weak solutions to the Dirichlet problem for nonlinear elliptic systems. Under suitable conditions on the coefficients of the systems we obtain everywhere Holder regularity on the interior for the gradients of weak solutions. Our sufficient condition for the regularity works even though an excess of the gradient of solution is not very small. More precise partial regularity on the interior can be deduced from our main result. The main result is illustrated through examples at the end of this article. (en)
Title
  • REGULARITY ON THE INTERIOR FOR THE GRADIENT OF WEAK SOLUTIONS TO NONLINEAR SECOND-ORDER ELLIPTIC SYSTEMS
  • REGULARITY ON THE INTERIOR FOR THE GRADIENT OF WEAK SOLUTIONS TO NONLINEAR SECOND-ORDER ELLIPTIC SYSTEMS (en)
skos:prefLabel
  • REGULARITY ON THE INTERIOR FOR THE GRADIENT OF WEAK SOLUTIONS TO NONLINEAR SECOND-ORDER ELLIPTIC SYSTEMS
  • REGULARITY ON THE INTERIOR FOR THE GRADIENT OF WEAK SOLUTIONS TO NONLINEAR SECOND-ORDER ELLIPTIC SYSTEMS (en)
skos:notation
  • RIV/60076658:12310/13:43885359!RIV14-MSM-12310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • V
http://linked.open...iv/cisloPeriodika
  • MAY 16 2013
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 102063
http://linked.open...ai/riv/idVysledku
  • RIV/60076658:12310/13:43885359
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Campanato spaces; regularity; weak solutions; Nonlinear elliptic equations (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [D9EF0D94A84E]
http://linked.open...i/riv/nazevZdroje
  • ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • neuveden
http://linked.open...iv/tvurceVysledku
  • Daněček, Josef
  • Viszus, Eugen
http://linked.open...ain/vavai/riv/wos
  • 000320319900002
issn
  • 1072-6691
number of pages
http://localhost/t...ganizacniJednotka
  • 12310
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