Inverse Function Theorems and Jacobians over Metric Spaces

• Autorzy: Luca Granieri
• Języki publikacji: EN

Abstrakty

EN

We present inversion results for Lipschitz maps f : Ω ⊂ ℝN → (Y, d) and stability of inversion for uniformly convergent sequences. These results are based on the Area Formula and on the l.s.c. of metric Jacobians.

Słowa kluczowe

EN

Calculus of Variations; Geometric Measure Theory; area formula; lower semicontinuity; Jacobian; Inversion theorem

• Wydawca: De Gruyter Open
• Czasopismo: Analysis and Geometry in Metric Spaces
• Rocznik: 2014
• Tom: 2
• Numer: 1

Daty

otrzymano

2014-01-30

poprawiono

2014-04-28

zaakceptowano

2014-07-07

online

2014-07-26

Twórcy

autor

Luca Granieri

• Dipartimento di Matematica e Applicazioni, Università Federico II di Napoli, Via
  Cintia, Monte S. Angelo 80126 Napoli, Italy

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Identyfikatory

DOI

10.2478/agms-2014-0008