Existence, uniqueness, and large-time asymptotics are established for viscosity solutions to singular or degenerate parabolic p-Laplacian equations with general capillary boundary conditions on strictly convex domains.
DiBenedetto, C1+α-local regularity of weak solutions of degenerate elliptic equa- tions, Nonlinear Anal
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On the Viscosity Solutions of Parabolic p-Laplacian Equations with Capillary-Type Boundary Conditions
Existence, uniqueness, and large-time asymptotics are established for viscosity solutions to singular or degenerate parabolic p-Laplacian equations with general capillary boundary conditions on strictly convex domains.