We extend Bony’s propagation of support argument to C1 solutions of the non-homogeneous sub-elliptic p−Laplacian associated to a system of smooth vector fields satisfying Hormander’s finite rank condition. As a consequence we prove a strong maximum principle and strong comparison principle that generalize results of Tolksdorf.

Creator

• Capogna, Luca
• Zhou, Xiaodan

Date created

• 7/19/17

Resource type

• Article

Extent

• 10 pages

Source

• https://arxiv.org/abs/1707.06272

Rights statement

• In Copyright

Last modified

• 2020-09-21