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A priori estimates for minimal surfaces with free boundary, which are not minima of the area - MaRDI portal

A priori estimates for minimal surfaces with free boundary, which are not minima of the area (Q1124104)

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scientific article; zbMATH DE number 4111431
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A priori estimates for minimal surfaces with free boundary, which are not minima of the area
scientific article; zbMATH DE number 4111431

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    A priori estimates for minimal surfaces with free boundary, which are not minima of the area (English)
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    1987
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    The author proves a priori estimates of the length of the free boundary, of Dirichlet's integral and of \(C^{k,\alpha}\)-norms for stationary partially free minimal surfaces. In general there are no a priori estimates. But under special conditions on the supporting surface and the boundary curve this is possible and done.
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    free boundary
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    Dirichlet's integral
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    stationary partially free minimal surfaces
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