On Hölder regularity for vector-valued minimizers of quasilinear functionals

Josef Daněček; Eugen Viszus

Mathematica Bohemica (2010)

  • Volume: 135, Issue: 2, page 199-207
  • ISSN: 0862-7959

Abstract

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We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type 𝒜 ( u ; Ω ) = ∫ Ω A i j α β ( x , u ) D α u i D β u j d x whose gradients belong to the Morrey space L 2 , n - 2 ( Ω , ℝ n N ) .

How to cite

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Daněček, Josef, and Viszus, Eugen. "On Hölder regularity for vector-valued minimizers of quasilinear functionals." Mathematica Bohemica 135.2 (2010): 199-207. <http://eudml.org/doc/38124>.

@article{Daněček2010,
abstract = {We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type \[ \mathcal \{A\}(u;\Omega )=\int \_\{\Omega \} A\_\{ij\}^\{\alpha \beta \}(x,u) D\_\{\alpha \}u^iD\_\{\beta \}u^j\,\{\rm d\}x \] whose gradients belong to the Morrey space $L^\{2,n-2\}(\Omega ,\mathbb \{R\}^\{nN\})$.},
author = {Daněček, Josef, Viszus, Eugen},
journal = {Mathematica Bohemica},
keywords = {quasilinear functional; minimizer; regularity; Campanato-Morrey space; quasilinear functional; minimizer, regularity; Campanato-Morrey space},
language = {eng},
number = {2},
pages = {199-207},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Hölder regularity for vector-valued minimizers of quasilinear functionals},
url = {http://eudml.org/doc/38124},
volume = {135},
year = {2010},
}

TY - JOUR
AU - Daněček, Josef
AU - Viszus, Eugen
TI - On Hölder regularity for vector-valued minimizers of quasilinear functionals
JO - Mathematica Bohemica
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 135
IS - 2
SP - 199
EP - 207
AB - We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type \[ \mathcal {A}(u;\Omega )=\int _{\Omega } A_{ij}^{\alpha \beta }(x,u) D_{\alpha }u^iD_{\beta }u^j\,{\rm d}x \] whose gradients belong to the Morrey space $L^{2,n-2}(\Omega ,\mathbb {R}^{nN})$.
LA - eng
KW - quasilinear functional; minimizer; regularity; Campanato-Morrey space; quasilinear functional; minimizer, regularity; Campanato-Morrey space
UR - http://eudml.org/doc/38124
ER -

References

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