This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short

Nonlinear elliptic differential equations are a diverse subject with important applications to the physical and social sciences and engineering. They also arise

This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations. These equ

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

This volume is based on PDE courses given by the authors at the Courant Institute and at the University of Notre Dame, Indiana. Presented are basic methods for