Higher Integrability for Solutions to Variational Problems with Fast Growth

Abstract

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

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

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

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

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Published by Heldermann Verlag, 2011. Rights now held by Banach Press LLC.