This analysis reveals removable singularities and Harnack inequality for nonlinear Hörmander equations, suggesting Sobolev inequalities play a critical role.
This paper concerns the quasilinear subelliptic function derived from Hörmander 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 Hölder continuity when domain $Ω$ is equiregular.
No takes yet. Share an insight, caveat, or question.
Qiang et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: