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.
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Proves Dong-Li-Yang gradient estimates for insulated conductivity problem hold for any convex inclusions in n≥3 and generalizes to flatter boundaries near contact points.
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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.
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Optimal gradient estimates for the insulated conductivity problem with dimensions more than two
Proves Dong-Li-Yang gradient estimates for insulated conductivity problem hold for any convex inclusions in n≥3 and generalizes to flatter boundaries near contact points.