Establishes optimal asymptotic expansions at infinity for solutions to the supercritical Lagrangian mean curvature equation in exterior domains for all decay rates β > 0 under local Lipschitz regularity on f.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
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Optimal Asymptotic Behavior at Infinity for Solutions of the Supercritical Lagrangian Mean Curvature Equation in Exterior Domains
Establishes optimal asymptotic expansions at infinity for solutions to the supercritical Lagrangian mean curvature equation in exterior domains for all decay rates β > 0 under local Lipschitz regularity on f.
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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.