Partial regularity results of minimizers of quasiconvex functionals of higher order

Kronz M (2002)

Publication Type: Journal article

Publication year: 2002

Journal

Annales de l'Institut Henri Poincaré - Analyse Non Linéaire Elsevier Masson / Institute Henri Poincaré

Publisher: Elsevier Masson / Institute Henri Poincaré

Book Volume: 19

Pages Range: 81-112

DOI: 10.1016/S0294-1449(01)00072-5

Abstract

We consider minimizers u∈W^m,p(Ω,R^N) of uniformly strictly quasiconvex functionals F(u)=∫Ωf(D ^mu)dℒⁿ of higher order. Here Ω is a domain in Rⁿ, m ≥ 1, and f is a C²-integrand with growth of order p, p ≥ 2. Using the technique of harmonic approximation we give a direct proof of almost everywhere C^m,α-regularity for such minimizers. © 2002 Éditions scientifiques et médicales Elsevier SAS.

Authors with CRIS profile

Manfred Kronz Department Mathematik

How to cite

APA:

Kronz, M. (2002). Partial regularity results of minimizers of quasiconvex functionals of higher order. Annales de l'Institut Henri Poincaré - Analyse Non Linéaire, 19, 81-112. https://dx.doi.org/10.1016/S0294-1449(01)00072-5

MLA:

Kronz, Manfred. "Partial regularity results of minimizers of quasiconvex functionals of higher order." Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 19 (2002): 81-112.

BibTeX: Download