Regularity results for minimizers of (2, q)-growth functionals in the Heisenberg Group

Zusammenfassung

We consider integral functionals in the Heisenberg group, whose convex C-2-integrand has quadratic growth from below, and growth of order q > 2 from above. We prove Holder regularity for the full gradient of minimizers under the condition that q is less than an explicitly calculated dimension-dependent bound.