Duality principles for fully nonlinear elliptic equations

Diogo Aguiar Gomes*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-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 languageEnglish (US)
Title of host publicationProgress in Nonlinear Differential Equations and Their Application
PublisherSpringer US
Pages125-136
Number of pages12
DOIs
StatePublished - 2005
Externally publishedYes

Publication series

NameProgress in Nonlinear Differential Equations and Their Application
Volume61
ISSN (Print)1421-1750
ISSN (Electronic)2374-0280

Keywords

  • Convolution
  • Mete
  • Radon

ASJC Scopus subject areas

  • Control and Optimization
  • Analysis
  • Applied Mathematics
  • Computational Mechanics
  • Mathematical Physics

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