English

Regularity for minimizers of functionals with nonstandard growth by $A$-harmonic approximation

Analysis of PDEs 2010-02-08 v1 Classical Analysis and ODEs

Abstract

We prove partial regularity for minimizers of quasiconvex functionals of the type Ωf(x,Du)dx\int_\Omega f(x,Du) dx with p(x)p(x) growth with respect to the second variable. The proof is direct and uses a method of AA-harmonic approximation.

Keywords

Cite

@article{arxiv.math/0610366,
  title  = {Regularity for minimizers of functionals with nonstandard growth by $A$-harmonic approximation},
  author = {J. Habermann and A. Zatorska-Goldstein},
  journal= {arXiv preprint arXiv:math/0610366},
  year   = {2010}
}

Comments

23 pages