Geometric estimates of solutions of quasilinear elliptic inequalities

Abstract

Suppose that






and






are real numbers with






. Let






be a non-empty open subset of






,






. We consider the inequality






where






is the gradient operator,






and






are certain functions and






for almost all






and all






. We obtain estimates for solutions of this inequality using the geometry of






. In particular, these estimates yield regularity conditions for boundary points.