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Axial symmetry for fractional capillarity droplets
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math.AP
keywords
axialcapillaritycurvaturedropletsfractionalhyperplanemeanresult
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A classical result of Wente, motivated by the study of sessile capillarity droplets, demonstrates the axial symmetry of every hypersurface which meets a hyperplane at a constant angle and has mean curvature dependent only on the distance from that hyperplane. An analogous result is proven here for the fractional mean curvature operator.
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