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.
Gradient estimates for the perfect and insulated conductivity problems with multiple inclusions.Communications in Partial Differential Equations, 35(11):1982–2006
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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.