Publication detail

C(0,gamma) - Regularity for Vector-Valued Minimizers of Quasilinear Functionals

DANĚČEK, J. VISZUS, E.

Original Title

C(0,gamma) - Regularity for Vector-Valued Minimizers of Quasilinear Functionals

Type

journal article - other

Language

English

Original Abstract

We discuss the interior $C^{0,\gamma}$ - everywhere regularity for minimizers of quasilinear functionals of the type $$ \mathcal{A}(u;\Omega)=\int\limits_{\Omega}\, A_{ij}^{\alpha\beta}(x,u) D_{\alpha}u^{i}D_{\beta}u^{j}\, dx $$ where $VMO$ dependence on the variable $x$ and continuous dependence on the variable $u$ are supposed.

Keywords

Quasilinear functionals; minimizers, regularity; Campanato-Morrey spaces

Authors

DANĚČEK, J.; VISZUS, E.

RIV year

2009

Released

1. 1. 2009

Publisher

Birkhauser Verlag, Basel

Location

Švýcarská konfederace

ISBN

1021-9722

Periodical

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Year of study

2009

Number

16

State

Swiss Confederation

Pages from

189

Pages to

211

Pages count

22

BibTex

@article{BUT47131,
  author="Josef {Daněček} and Eugen {Viszus}",
  title="C(0,gamma) - Regularity for Vector-Valued Minimizers of Quasilinear Functionals",
  journal="NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS",
  year="2009",
  volume="2009",
  number="16",
  pages="189--211",
  issn="1021-9722"
}