Duality principles for fully nonlinear elliptic equations

Diogo Gomes

doi:10.1007/3-7643-7317-2_10

Duality principles for fully nonlinear elliptic equations

Diogo Gomes^*

^*Corresponding author for this work

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

15 Scopus citations

Abstract

In this paper we use duality theory to associate certain measures to fully-nonlinear elliptic equations. These measures are the natural extension of the Mather measures to controlled stochastic processes and associated second-order elliptic equations. We apply these ideas to prove new a priori estimates for smooth solutions of fully nonlinear elliptic equations.

Original language	English (US)
Title of host publication	Progress in Nonlinear Differential Equations and Their Application
Publisher	Springer US
Pages	125-136
Number of pages	12
DOIs	https://doi.org/10.1007/3-7643-7317-2_10
State	Published - Jan 1 2005

Publication series

Name	Progress in Nonlinear Differential Equations and Their Application
Volume	61
ISSN (Print)	1421-1750
ISSN (Electronic)	2374-0280

Keywords

Convolution
Mete
Radon

ASJC Scopus subject areas

Analysis
Applied Mathematics
Control and Optimization
Mathematical Physics
Computational Mechanics

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10.1007/3-7643-7317-2_10

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title = "Duality principles for fully nonlinear elliptic equations",

abstract = "In this paper we use duality theory to associate certain measures to fully-nonlinear elliptic equations. These measures are the natural extension of the Mather measures to controlled stochastic processes and associated second-order elliptic equations. We apply these ideas to prove new a priori estimates for smooth solutions of fully nonlinear elliptic equations.",

keywords = "Convolution, Mete, Radon",

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Y1 - 2005/1/1

N2 - In this paper we use duality theory to associate certain measures to fully-nonlinear elliptic equations. These measures are the natural extension of the Mather measures to controlled stochastic processes and associated second-order elliptic equations. We apply these ideas to prove new a priori estimates for smooth solutions of fully nonlinear elliptic equations.

AB - In this paper we use duality theory to associate certain measures to fully-nonlinear elliptic equations. These measures are the natural extension of the Mather measures to controlled stochastic processes and associated second-order elliptic equations. We apply these ideas to prove new a priori estimates for smooth solutions of fully nonlinear elliptic equations.

KW - Convolution

KW - Mete

KW - Radon

UR - http://www.scopus.com/inward/record.url?scp=85038573877&partnerID=8YFLogxK

U2 - 10.1007/3-7643-7317-2_10

DO - 10.1007/3-7643-7317-2_10

M3 - Conference contribution

AN - SCOPUS:85038573877

T3 - Progress in Nonlinear Differential Equations and Their Application

SP - 125

EP - 136

BT - Progress in Nonlinear Differential Equations and Their Application

PB - Springer US

ER -

Duality principles for fully nonlinear elliptic equations

Abstract

Publication series

Keywords

ASJC Scopus subject areas

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