Journal of Convex Analysis 18 (2011), No. 1, 173--180
Copyright Heldermann Verlag 2011
Higher Integrability for Solutions to Variational Problems with Fast Growth
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
[Abstract-pdf]
We prove higher integrability properties of solutions to variational problems of minimizing $$ \int_\Omega [e^{f(\|\nabla u(x)\|)}+g(x,u(x))]\,dx $$ where $f$ is a convex function satisfying some additional conditions.
[ Fulltext-pdf (123 KB)] for subscribers only.