Existence and uniqueness of smooth uniformly convex solutions to the second boundary value problem for Lagrangian mean curvature type equations via parabolic methods with oblique boundary conditions.
Ma, Convexity and the Dirichlet problem of translating mean cur- vature flows, Kodai Math
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On the second boundary value problem for Lagrangian mean curvature type equation
Existence and uniqueness of smooth uniformly convex solutions to the second boundary value problem for Lagrangian mean curvature type equations via parabolic methods with oblique boundary conditions.