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Existence and regularity of minimal surfaces on Riemannian manifolds. (English) Zbl 0462.58003

MSC:
58-02 Research exposition (monographs, survey articles) pertaining to global analysis
58E12 Variational problems concerning minimal surfaces (problems in two independent variables)
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
58E10 Variational problems in applications to the theory of geodesics (problems in one independent variable)
49Q05 Minimal surfaces and optimization
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
49Q15 Geometric measure and integration theory, integral and normal currents in optimization
49Q20 Variational problems in a geometric measure-theoretic setting