Comparison Principles for General Potential Theories and PDEs

An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories

In recent years, there has evolved a symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories. This book examines important aspects of this story. One main purpose is to prove comparison principles for nonlinear potential theories in Euclidian spaces straightforwardly from d...