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- W2128082157 abstract "Let α be a polygonal Jordan curve in R3. We show that if α satisfies certain conditions, then the least-area Douglas-Radó disk in R3 with boundary α is unique and is a smooth graph. As our conditions on α are not included amongst previously known conditions for embeddedness, we are enlarging the set of Jordan curves in R3 which are known to be spanned by an embedded least-area disk. As an application, we consider the conjugate surface construction method for minimal surfaces. With our result we can apply this method to a wider range of complete catenoid-ended minimal surfaces in R3." @default.
- W2128082157 created "2016-06-24" @default.
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- W2128082157 date "2000-01-01" @default.
- W2128082157 modified "2023-09-28" @default.
- W2128082157 title "On embeddedness of area-minimizing disks, and an application to constructing complete minimal surfaces" @default.
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- W2128082157 doi "https://doi.org/10.2969/jmsj/05210025" @default.
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