Shirsho Mukherjee - Regularity of quasi-linear equations with Hormander vector fields of step two

Abstract: In this talk, some recent results on the regularity theory of quasilinear subelliptic equations shall be presented. 

The main prototype of such equations is the p-Laplacian equation defined on vector fields which, together with their commutators, 

span the tangent space at every point. I shall illustrate the proof of weak solutions being locally C^1,\alpha for every 1<p<\infty. 

This is a joint work with Giovanna Citti.