Inserted: 12 dec 2002
Last Updated: 10 dec 2003
Journal: J. Convex Anal.
We consider integral functionals of the Calculus of Variations where the energy density is a continuous function with $p$-growth, $p>1$, uniformly convex at infinity with respect to the gradient variable. We prove that local minimizers are $\alpha$ Hölder continuous for all $\alpha<1$.
Keywords: regularity, Local minimizer, nonconvex functional