Hölder regularity of viscosity solutions of some fully nonlinear equations in the Heisenberg group

Abstract

In this paper we prove the Hölder regularity of bounded, uniformly continuous, viscosity solutions of some degenerate fully nonlinear equations in the Heisenberg group.

References in corpus (2)

• Sharp comparison and maximum principles via horizontal normal mapping in the Heisenberg group
• Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group