Regularity of minimizers of autonomous convex variational integrals

Menita Carozza, Jan Kristensen, Antonia Passarelli di Napoli

We establish local higher integrability and differentiability results for minimizers of variational integrals $$\mathfrak{F}(v,\Omega )={\int }_{\Omega }/!F(Dv(x))dx$$ over $W^{1,p}$--Sob…