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• W2009469681 abstract "We consider Plateau type variational problems related to the size minimization of rectifiable currents. We realize the limit of a size minimizing sequence as a stationary varifold and a minimal set. Other examples of functionals to be minimized include the integral over the underlying carrying set of a power q of the multiplicity function, with $0 < q leq 1$ .Because minimizing sequences may have unbounded mass we make use of a more general object called a rectifiable scan for describing the limit. This concept is motivated by the possibility of recovering a flat chain from a sufficiently large collection of its slices. In case the given boundary is smooth and compact, the limiting scan has finite mass and corresponds to a rectifiable current." @default.
• W2009469681 created "2016-06-24" @default.
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• W2009469681 date "2003-08-01" @default.
• W2009469681 modified "2023-09-26" @default.
• W2009469681 title "Size minimization and approximating problems" @default.
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• W2009469681 doi "https://doi.org/10.1007/s00526-002-0177-6" @default.
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