Fully Nonlinear Elliptic Equations (Colloquium Publications (Amer Mathematical Soc))

ISBN: 0821804375

Author: Luis A. Caffarelli

Condition: New

This book provides a self-contained development of the regularity theory for solutions of fully nonlinear elliptic equations. Caffarelli and Cabr offer a detailed presentation of all techniques needed to extend the classical Schauder and Caldern-Zygmund regularity theories for linear elliptic equations to the fully nonlinear context.The authors present the key ideas and prove all the results needed for the regularity theory of viscosity solutions of fully nonlinear equations. The book contains the study of convex fully nonlinear equations and fully nonlinear equations with variable coefficients.