A simple proof establishes α-order polynomial growth for solutions to the insulated conductivity problem near the origin and uniform gradient bounds for flat boundaries.
Optimal estimates for the conductivity problem by green’s function method.Archive for Rational Mechanics and Analysis, 231:1427– 1453, 2019
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A simple proof for the insulated conductivity problem and application to flat boundaries
A simple proof establishes α-order polynomial growth for solutions to the insulated conductivity problem near the origin and uniform gradient bounds for flat boundaries.