A Remark on Global W^(1,p) Bounds for Harmonic Functions with Lipschitz Boundary Values
classification
🧮 math.AP
keywords
boundaryfunctionsharmoniclipschitzvaluesboundedboundsdomain
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In this note we show that gradient of Harmonic functions on a smooth domain with Lipschitz boundary values is pointwise bounded by a universal function which is in $L^p$ for all finite $p\geq 1$.
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