Jacobians

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ricerche di matematica vol liv fasc 2 2005 375 394 distributional jacobian and singularities of sobolev maps giovanni alberti abstract wereviewthedenitionandmainpropertiesofthedistributional jacobians in particular for sobolev maps u rn rk ...

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...Ricerche di matematica vol liv fasc distributional jacobian and singularities of sobolev maps giovanni alberti abstract wereviewthedenitionandmainpropertiesofthedistributional jacobians in particular for u rn rk with values the k dimensional sphere sk keywords determinant topological rectiability integral currents finite perimeter sets a m s classification q c introduction this note contains an expanded version lecture i gave at renato caccioppoli conference naples september purpose that was to advertise notion ja cobian n these ju is supported on singular set points discontinuity reects its geometric structure result remi niscent well known fact about derivatives characteristic functions gradient d function e boundary if dipartimento universit pisa l go pontecorvo italy mail dmma am unipi it g latter suciently regular then de product area mea sure times inner normal way valued bounded can be regarded as vector analogue nite analogy will guideline presentation appears naturally study v...

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Posted on: 28 Jan 2023 | 4 years ago
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