A Jenkins-Serrin problem on the strip

Abstract

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 $\pi /2$.

References in corpus (1)

• A uniqueness result for maximal surfaces in Minkowski 3-space

Cited by in corpus (1)

• Limit of Karcher's Saddle towers