Fully Nonlinear Elliptic Equations

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Fully Nonlinear Elliptic Equations

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Author : Luis A. Caffarelli
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Fully Nonlinear Elliptic Equations written by Luis A. Caffarelli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.

Regularity Of Solutions Of Fully Nonlinear Elliptic Equations

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Author : Neil Sydney Trudinger
language : en
Publisher:
Release Date : 1983

Regularity Of Solutions Of Fully Nonlinear Elliptic Equations written by Neil Sydney Trudinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.

Regularity Results For Nonlocal Fully Nonlinear Elliptic Equations

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Author : Marcus Rang
language : en
Publisher:
Release Date : 2013

Regularity Results For Nonlocal Fully Nonlinear Elliptic Equations written by Marcus Rang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.

Lp Regularity For Fully Nonlinear Elliptic Equations

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Author :
language : en
Publisher:
Release Date : 2017

Lp Regularity For Fully Nonlinear Elliptic Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.

A Survey On The Book Fully Nonlinear Elliptic Equations By Luis A Ca Arelli And Xavier Cabr E

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Author :
language : en
Publisher:
Release Date : 2014

A Survey On The Book Fully Nonlinear Elliptic Equations By Luis A Ca Arelli And Xavier Cabr E written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.

Potential Theory For Fully Nonlinear Elliptic Equations

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Author : Denis A. Labutin
language : en
Publisher:
Release Date : 1999

Potential Theory For Fully Nonlinear Elliptic Equations written by Denis A. Labutin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Differential equations, Elliptic categories.

Nonlinear Elliptic Equations And Nonassociative Algebras

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Author : Nikolai Nadirashvili
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-12-03

Nonlinear Elliptic Equations And Nonassociative Algebras written by Nikolai Nadirashvili and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-03 with Mathematics categories.

This book presents applications of noncommutative and nonassociative algebras to constructing unusual (nonclassical and singular) solutions to fully nonlinear elliptic partial differential equations of second order. The methods described in the book are used to solve a longstanding problem of the existence of truly weak, nonsmooth viscosity solutions. Moreover, the authors provide an almost complete description of homogeneous solutions to fully nonlinear elliptic equations. It is shown that even in the very restricted setting of "Hessian equations", depending only on the eigenvalues of the Hessian, these equations admit homogeneous solutions of all orders compatible with known regularity for viscosity solutions provided the space dimension is five or larger. To the contrary, in dimension four or less the situation is completely different, and our results suggest strongly that there are no nonclassical homogeneous solutions at all in dimensions three and four. Thus this book gives a complete list of dimensions where nonclassical homogeneous solutions to fully nonlinear uniformly elliptic equations do exist; this should be compared with the situation of, say, ten years ago when the very existence of nonclassical viscosity solutions was not known.

Potential Estimates For A Class Of Fully Nonlinear Elliptic Equations

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Author : Denis A. Labutin
language : en
Publisher:
Release Date : 1999

Potential Estimates For A Class Of Fully Nonlinear Elliptic Equations written by Denis A. Labutin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Approximation theory categories.

On Degenerate Fully Nonlinear Elliptic Equations In Balls

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Author : Neil Sydney Trudinger
language : en
Publisher:
Release Date : 1986

On Degenerate Fully Nonlinear Elliptic Equations In Balls written by Neil Sydney Trudinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.

Some Maximum Principles And Continuity Estimates For Fully Nonlinear Elliptic Equations Of Second Order

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Author : Ping-kan Fok
language : en
Publisher:
Release Date : 1996

Some Maximum Principles And Continuity Estimates For Fully Nonlinear Elliptic Equations Of Second Order written by Ping-kan Fok and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.