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arXiv · 2510.00755

Removable singularities and Harnack inequality for nonlinear H\"ormander degenerate subelliptic equations

Jiayi Qiang·Yawei Wei·Mengnan Zhang
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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.

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Jiayi Qiang, Yawei Wei, Mengnan Zhang. 2025-10-01. Removable singularities and Harnack inequality for nonlinear H\"ormander degenerate subelliptic equations. https://arxiv.org/abs/2510.00755

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