A regularity theorem for minimisers of quasiconvex integrals: the case 1

Published:1996 Issue:6 Volume:126 Page:1181-1199
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Carozza Menita,di Napoli Antonia Passarelli

Abstract

We prove partial regularity for minimisers of quasiconvex integrals of the form ∫Ωf(Du(x))dx. More precisely, we consider an integrandf(ξ) having subquadratic growth, i.e. |f(ξ)|≦L(1+|ξ|p) withp< 2. The case of a general integrand depending also onxanduis also considered.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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