Comparison principles for degenerate sub-elliptic equations in non-divergence form
Analysis of PDEs
2024-09-24 v1
Abstract
We prove the comparison principle for viscosity sub/super-solutions of degenerate subelliptic equations in non-divergence form that include the sub-elliptic infinity Laplacian and the normalized p-Laplacian. The equations are defined by a collection of vector fields satisfying H\"ormander's rank condition and are left invariant with respect to a nilpotent Lie Group.
Cite
@article{arxiv.2409.15144,
title = {Comparison principles for degenerate sub-elliptic equations in non-divergence form},
author = {Juan J. Manfredi and Shirsho Mukherjee},
journal= {arXiv preprint arXiv:2409.15144},
year = {2024}
}
Comments
21 pages