Abstract

We prove higher integrability properties of solutions to variational problems of minimizing ∫Ω[ef(∥∇u(x)∥)+g(x,u(x))] dx\int_\Omega [e^{f(\|\nabla u(x)\|)}+g(x,u(x))]\,dx where ff is a convex function satisfying some additional conditions

Author information

Contact details are reproduced from the original publication and may be historical.

Arrigo Cellina

Dip. di Matematica e Applicazioni, Università degli Studi di Milano-Bicocca, Via R. Cozzi 53, 20125 Milano, Italy

arrigo.cellina@unimib.it

Marco Mazzola

Dip. di Matematica e Applicazioni, Università degli Studi di Milano-Bicocca, Via R. Cozzi 53, 20125 Milano, Italy

m.mazzola7@campus.unimib.it

Suggested citation

A. Cellina, M. Mazzola. “Higher Integrability for Solutions to Variational Problems with Fast Growth.” Journal of Convex Analysis 18 (2011), No. 1, 173–180.

Copyright Heldermann Verlag 2011