Author： Winklmann S.
Publisher： Springer Publishing Company
ISSN： 0232-704X
Source： Annals of Global Analysis and Geometry, Vol.24, Iss.3, 2003-10, pp. : 269-277
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Abstract
We extend a classical result of Radó and Kneser concerning uniqueness of minimal surfaces bounded by a given closed Jordan curve Γ in \mathbb R^3 to the case of extremals for certain geometric variational integrals. Using standard elliptic PDE theory, this gives the existence and uniqueness of embedded F</i>-minimal surfaces for suitable boundary curves that project simply onto the boundary of a plane convex domain.
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