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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AP 2years
2026 2representative citing papers
citing papers explorer
-
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.
- Optimal Asymptotic Behavior at Infinity for Solutions of the Supercritical Lagrangian Mean Curvature Equation in Exterior Domains