Existence and uniqueness of viscosity solutions are established for the supercritical phase Lagrangian mean curvature equation on exterior domains with perturbation decay faster than |x|^{-2}, plus the subcritical case without perturbation, for n at least 3.
G.: Liouville property and existence of entire solutions of Hessian equations
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Lagrangian Mean Curvature Equations on exterior domains
Existence and uniqueness of viscosity solutions are established for the supercritical phase Lagrangian mean curvature equation on exterior domains with perturbation decay faster than |x|^{-2}, plus the subcritical case without perturbation, for n at least 3.