Regularity for Quasi-Linear <i>p</i>-Laplacian Type Non-Homogeneous Equations in the Heisenberg Group

Abstract

When 2−1/Qp≤2, we establish the Cloc0,1 and Cloc1,α-regularities of weak solutions to quasi-linear p-Laplacian type non-homogeneous equations in the Heisenberg group Hn, where Q=2n+2 is the homogeneous dimension of Hn.

Keywords

• <i>p</i>-Laplacian type
• non-homogeneous equations
• Heisenberg group
• regularities
• Riesz potentials