1,231 research outputs found
A Jenkins-Serrin problem on the strip
We describe the family of minimal graphs on strips with boundary values
disposed alternately on edges of length one, and whose conjugate
graphs are contained in horizontal slabs of width one in . 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
Saddle towers with infinitely many ends
We prove the existence of nonperiodic, properly embedded minimal surfaces in
with genus zero, infinitely many ends and one
limit end (in particular, they have infinite total curvature).Comment: 16 pages, 3 figure
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