Axial symmetry for fractional capillarity droplets

Cornelia Mihaila

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arXiv · 1710.03421

Axial symmetry for fractional capillarity droplets

Cornelia Mihaila

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Abstract

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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Cornelia Mihaila. 2017-10-10. Axial symmetry for fractional capillarity droplets. https://arxiv.org/abs/1710.03421

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