This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathemat

Aims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum p

Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remar

This book has evolved from my experience over the past decade in teaching and doing research in functional analysis and certain of its appli cations. These appl

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.