Guangwei Du, Xinjing Wang: Regularity for subelliptic double obstacle problems with discontinuous coefficients in Carnot group, 91-104

Abstract:

In this paper, we consider the double obstacle problem for a subelliptic equation of $p$-Laplace type with VMO coefficients in Carnot groups. The interior Hölder regularity for solutions to the double obstacle problem with subcritical growth is established while $p$ is close to 2.

Key Words: Subelliptic equation, $p$-Laplace type, double obstacle problem, Hölder regularity.

2020 Mathematics Subject Classification: Primary 35J70; Secondary 35B65, 35R03.

Download the paper in pdf format here.