The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of w

Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, in

The material presented here corresponds to Fermi lectures that I was invited to deliver at the Scuola Normale di Pisa in the spring of 1998. The obstacle proble

This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differe

This is a textbook that covers several selected topics in the theory of elliptic partial differential equations which can be used in an advanced undergraduate o