2005 | OriginalPaper | Buchkapitel
Duality Principles for Fully Nonlinear Elliptic Equations
verfasst von : Diogo Aguiar Gomes
Erschienen in: Trends in Partial Differential Equations of Mathematical Physics
Verlag: Birkhäuser Basel
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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.