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.
arXiv:2205.13096 (2022)
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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.