Document Type
Article
Publication Date
1-1-2018
Publication Title
Proceedings of the American Mathematical Society
Abstract
We extend Bony’s propagation of support argument to C1 solutions of the nonhomogeneous subelliptic p-Laplacian associated to a system of smooth vector fields satisfying Hörmander’s finite rank condition. As a consequence we prove a strong maximum principle and strong comparison principle that generalize results of Tolksdorf.
Keywords
P-harmonic functions, Strong comparison principle, Sub-Riemannian geometry, Subelliptic PDE
Volume
146
Issue
10
First Page
4265
Last Page
4274
ISSN
00029939
Version
Author's Submitted Manuscript
Recommended Citation
Capogna, Luca and Zhou, Xiaodan, "Strong Comparison Principle for p-Harmonic Functions in Carnot-Caratheodory Spaces" (2018). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/127