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Axial symmetry for fractional capillarity droplets. (arXiv:1710.03421v1 [math.AP])

来源于:arXiv
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. 查看全文>>