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.
CITATION STYLE
Gomes, D. A. (2005). Duality principles for fully nonlinear elliptic equations. In Progress in Nonlinear Differential Equations and Their Application (Vol. 61, pp. 125–136). Springer US. https://doi.org/10.1007/3-7643-7317-2_10
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