Anna Zatorska-Goldstein (Warsaw University)
Very weak solutions of nonlinear subelliptic equations
Abstract.
I prove a generalization of a theorem of Iwaniec, Sbordone and Lewis on higher integrability of very weak solutions of the A-harmonic equation onto a case of subelliptic operators defined by a family of vector fields satisfying Hormander condition. The main tool is a form of Gehring Lemma formulated and proved in an arbitrary metric space with a doubling measure. This result might be of special interest, as Gehring Lemma is a vital tool in many applications.

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