Inserted: 22 dec 2001
Last Updated: 13 jan 2003
Journal: Rend. Mat. Appl
We study the regularity (Hölder continuity, $BMO$, higher summability) of local minimizers of integral functionals of the Calculus of Variations in the scalar case. We assume that the integrand satisfies a growth condition involving a function which belongs to a certain Morrey space. No differentiability assumption is required. Analogous results are proved for weak solutions of nonlinear elliptic equations of $p$-Laplacian type.
Keywords: regularity, Local minimizers, Morrey spaces