Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups

Abstract

In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too far from 2. We also show a local Holder continuity with an optimal exponent to the solutions.

Keywords

• Subelliptic p-Laplace
• VMO coefficients
• controllable growth
• Morrey regularity
• Carnot group