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MiS Preprint

Capillary Surfaces in Wedge Domains

Jin-Tzu Chen, Robert Finn and Erich Miersemann


We consider capillary surfaces u(x, y) in a vertical tube whose sections contain a corner (wedge) with opening 2α, 0 < 2α < 2π, and with contact angle data γ1, γ2 on the adjacent sides. We interpret geometrically and improve conditions of Lancaster and Siegel on criteria for boundedness of solutions. In the case that the solutions are unbounded we give growth estimates and in the classical case of downward gravity field a power representation asymptotic to any prescribed order. The coefficients of this expansion are independent of the particular solution considered.

Nov 29, 2007
Nov 29, 2007

Related publications

2008 Repository Open Access
Jin Tzu Chen, Robert Finn and Erich Miersemann

Capillary surfaces in wedge domains

In: Pacific journal of mathematics, 236 (2008) 2, pp. 283-305