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Fully Nonlinear Elliptic Equations

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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. <P>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.

Author(s): Luis A. Caffarelli, Xavier Cabre
Series: Colloquium Publications 43
Publisher: American Mathematical Society
Year: 1995

Language: English
Commentary: decrypted from 6FC4349EC6A32C80C8E45E18ECE2AB17 source file
Pages: 104

Cover
Title page
Contents
Introduction
Chapter 1. Preliminaries
Chapter 2. Viscosity solutions of elliptic equations
Chapter 3. Alexandroff estimate and maximum principle
Chapter 4. Harnack inequality
Chapter 5. Uniqueness of solutions
Chapter 6. Concave equations
Chapter 7. ?^{2,?} Regularity
Chapter 8. Hölder regularity
Chapter 9. The Dirichlet problem for concave equations
Bibliography
Index
Back Cover