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On Liouville type theorems for fully nonlinear elliptic equations with gradient term
Authors:Huyuan Chen  Patricio Felmer
Institution:Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático, UMR2071 CNRS-UChile, Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile
Abstract:In this paper, we prove a Hadamard property and Liouville type theorems for viscosity solutions of fully nonlinear elliptic partial differential equations with a gradient term, both in the whole space and in an exterior domain.
Keywords:Hadamard property  Liouville type theorem  Viscosity solution  Fully nonlinear elliptic PDE  Gradient term  Pucci?s operator
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