On the regularity of very weak minima

Author:

Giachetti Daniela,Leonetti Francesco,Schianchi Rosanna

Abstract

We consider very weak minimisers u of variational integrals ∫ F(x, Du(x)) dx and very weak solutions u of nonlinear elliptic systems div A(x, u, Du) = 0; we prove higher integrability for the gradient Du without any homogeneity on ξ→A(x,u,ξ) thus improving on a result by Iwaniec and Sbordone.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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