Fully nonlinear elliptic equations / Luis A. Caffarelli, Xavier Cabré
Type de document : MonographieCollection : Colloquium publications, 43Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, cop. 1995Description : 1 vol. (VI-104 p.) ; 26 cmISBN: 0821804375.ISSN: 0065-9258.Bibliographie : Bibliogr. p. 99-101. Index.Sujet MSC : 35-02, Research exposition (monographs, survey articles) pertaining to partial differential equations35J60, PDEs - Elliptic equations and elliptic systems, Nonlinear elliptic equations
35B65, Qualitative properties of solutions to partial differential equations, Smoothness and regularity of solutions to PDEs
35B45, Qualitative properties of solutions to partial differential equations, A priori estimates in context of PDEs
35J65, PDEs - Elliptic equations and elliptic systems, Nonlinear boundary value problems for linear elliptic equationsEn-ligne : Zentralblatt | MathScinet | AMS
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | 35 CAF (Browse shelf(Opens below)) | Available | 08946-01 |
Bibliogr. p. 99-101. Index
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. (Source : AMS)
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