Removable singularities and Harnack inequality for nonlinear Hörmander degenerate subelliptic equations
Jiayi Qiang, Yawei Wei, Mengnan Zhang
公開日: 2025/10/1
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 $\Omega$ is equiregular.