Volume: 43; 1995; 104 pp; Softcover
MSC: Primary 35;
Print ISBN: 978-0-8218-0437-7
Product Code: COLL/43
List Price: $38.00
Individual Member Price: $30.40
Fully Nonlinear Elliptic EquationsShare this page
Luis A. Caffarelli; Xavier Cabré
This book provides a self-contained development of
the regularity theory for solutions of fully nonlinear elliptic
equations. Caffarelli and Cabré offer a detailed presentation of
all techniques needed to extend the classical Schauder
and Calderón-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.
This book is suitable as a text for graduate courses in nonlinear elliptic partial differential equations.
Table of Contents
Table of Contents
Fully Nonlinear Elliptic Equations
Researchers and graduate students interested in elliptic partial differential equations.
The book marks an important stage in the theory of nonlinear elliptic problems. Its timely appearance will surely stimulate fresh attacks on the many difficult and interesting questions which remain.
-- Bulletin of the LMS
Interesting and well written … contains material selected with good taste … likely to be highly appreciated both by researchers and advanced students.
-- Mathematical Reviews
Well written, with the arguments clearly presented. There are helpful remarks throughout the book, and at several points the authors give the main ideas of the more technical proofs before proceeding to the details … will certainly be of interest to researchers and graduate students in the field of nonlinear elliptic equations.
-- Bulletin of the AMS