ENGLISH

Fully Nonlinear Elliptic Equations

By Luis A. Caffarelli , Xavier Cabre

Book information

Publisher
American Mathematical Society
Year
1995
ISBN
0821804375, 9780821804377
Language
english
Format
PDF
Filesize
15 MB (16137759 bytes)
Series
Colloquium Publications 43
Pages
104\113
Time added
2023-03-22 11:18:04

Description

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. 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. 𝑊^{2,𝑝} Regularity Chapter 8. Hölder regularity Chapter 9. The Dirichlet problem for concave equations Bibliography Index Back Cover

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