Removable singularities and Harnack inequality for nonlinear H\"ormander degenerate subelliptic equations
Analysis of PDEs
2025-10-02 v1
Abstract
This paper concerns the quasilinear subelliptic function derived from H\"ormander vector fields. Based on the significant work of J. Serrin in \cite{SER}, M. Meier in \cite{MM1}, and L. Capogna, D. Danielli and N. Garofalo in \cite{LC1,LDN}, we obtain the removable singularities and Harnack inequality by a sharp Sobolev inequalities under weaker integrability of coefficients in structure conditions. Furthermore, we get the H\"older continuity when domain is equiregular.
Cite
@article{arxiv.2510.00755,
title = {Removable singularities and Harnack inequality for nonlinear H\"ormander degenerate subelliptic equations},
author = {Jiayi Qiang and Yawei Wei and Mengnan Zhang},
journal= {arXiv preprint arXiv:2510.00755},
year = {2025}
}