Higher differentiability of minimizers of convex variational integrals

In this paper we consider integral functionals of the formF(v,Ω)= ∫ΩF(Dv(x))dx with convex integrand satisfying (p,q) growth conditions. We prove local higher differentiability results for bounded minimizers of the functional F under dimension-free conditions on the gap between the growth and the co...

Full description

Bibliographic Details
Main Authors: Carozza, M, Kristensen, J, di Napoli, A
Format: Journal article
Language:English
Published: 2011