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Existence of least-area mappings of N-dimensional domains. (English) Zbl 0526.49029

MSC:
49Q05 Minimal surfaces and optimization
49Q20 Variational problems in a geometric measure-theoretic setting
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
49Q15 Geometric measure and integration theory, integral and normal currents in optimization
53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces
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