# Inverse Function Theorems and Jacobians over Metric Spaces

Analysis and Geometry in Metric Spaces (2014)

- Volume: 2, Issue: 1, page 235-247, electronic only
- ISSN: 2299-3274

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topLuca Granieri. "Inverse Function Theorems and Jacobians over Metric Spaces." Analysis and Geometry in Metric Spaces 2.1 (2014): 235-247, electronic only. <http://eudml.org/doc/267296>.

@article{LucaGranieri2014,

abstract = {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.},

author = {Luca Granieri},

journal = {Analysis and Geometry in Metric Spaces},

keywords = {Calculus of Variations; Geometric Measure Theory; area formula; lower semicontinuity; Jacobian; Inversion theorem; calculus of variations; geometric measure theory; inversion theorem},

language = {eng},

number = {1},

pages = {235-247, electronic only},

title = {Inverse Function Theorems and Jacobians over Metric Spaces},

url = {http://eudml.org/doc/267296},

volume = {2},

year = {2014},

}

TY - JOUR

AU - Luca Granieri

TI - Inverse Function Theorems and Jacobians over Metric Spaces

JO - Analysis and Geometry in Metric Spaces

PY - 2014

VL - 2

IS - 1

SP - 235

EP - 247, electronic only

AB - 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.

LA - eng

KW - Calculus of Variations; Geometric Measure Theory; area formula; lower semicontinuity; Jacobian; Inversion theorem; calculus of variations; geometric measure theory; inversion theorem

UR - http://eudml.org/doc/267296

ER -

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