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A class of boundary problems for extremal surfaces of mixed type in Minkowski 3-space. (English) Zbl 0635.49019

A class of boundary problems for extremal surfaces of mixed type in Minkowski 3-space is considered. The boundary condition is that the surface should pass through a given arc of zero length as a part of its boundary. A theorem of the existence together with a geometric description of the solution is presented.
Reviewer: C.H.Gu

MSC:

49Q05 Minimal surfaces and optimization
35M99 Partial differential equations of mixed type and mixed-type systems of partial differential equations
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
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