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On a class of variational integrals over BV varieties. (English) Zbl 0735.49040

Summary: We present here our most recent results about the definition of non- linear Weierstrass-type integrals over BV varieties, possibly discontinuous and not necessarily Sobolev.

MSC:

49Q20 Variational problems in a geometric measure-theoretic setting
26A45 Functions of bounded variation, generalizations
49J45 Methods involving semicontinuity and convergence; relaxation
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