A Jenkins-Serrin problem on the strip

Details A Jenkins-Serrin problem on the strip A Jenkins-Serrin problem on the strip

2006-11-23

arxiv.org/abs/math/0611738v1

Mathematics

Differential Geometry

Scientific paper

We describe the family of minimal graphs on strips with boundary values $\pm\infty$ disposed alternately on edges of length one, and whose conjugate graphs are contained in horizontal slabs of width one in $\mathbb{R}^3$. We can obtain as limits of such graphs the helicoid, all the doubly periodic Scherk minimal surfaces and the singly periodic Scherk minimal surface of angle $\pi/2$.

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