Removable singularities and Harnack inequality for nonlinear H\"ormander degenerate subelliptic equations
Abstract
This paper concerns the quasilinear subelliptic function derived from H\"ormander vector fields. Based on the significant work of J. Serrin in SER, M. Meier in MM1, and L. Capogna, D. Danielli and N. Garofalo in 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.
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