Duality Principles for Fully Non- linear Elliptic Equations
نویسنده
چکیده
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. Supported in part by FCT/POCTI/FEDER Departamento de Matemática, Instituto Superior Técnico Av. Rovisco Pais 1049-001 Lisboa, Portugal email:[email protected]
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