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A Jenkins-Serrin problem on the strip

Abstract : We describe the family of minimal graphs on strips with boundary values +/-infinity disposed alternately on edges of length 1, and whose conjugate graphs are contained in horizontal slabs of width 1 in 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. (c) 2006 Elsevier B.V. All rights reserved.
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M. Magdalena Rodriguez. A Jenkins-Serrin problem on the strip. Journal of Geometry and Physics, Elsevier, 2007, 57 (5), pp.1371--1377. ⟨10.1016/j.geomphys.2006.10.011⟩. ⟨hal-00693643⟩



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