Mathematics > Differential Geometry
arXiv:2606.01715 (math)
[Submitted on 1 Jun 2026]
Abstract:We show that any entire, capillary minimal graph in a half-space must be linear in low-dimensions or, more generally, when some tangent cone at infinity does not split off a vertical line. We also show that the regular set of any entire, capillary-minimizing hypersurface must be connected, and we discuss connections with the one-phase Bernoulli problem.
Submission history
From: Nick Edelen [view email]
[v1]
Mon, 1 Jun 2026 05:33:07 UTC (17 KB)
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