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

Elliptic partial differential equations is one of the main and most active areas in mathematics. This book is devoted to the study of linear and nonlinear ellip

The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects

These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of so