Integration by parts on generalized manifolds and applications on quasiregular maps

DOI10.5186/aasfm.2016.4123zbMath1334.30008OpenAlexW4235479873WikidataQ110236443 ScholiaQ110236443MaRDI QIDQ2790827

Ville Kirsilä

Publication date: 8 March 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2016.4123

zbMATH Keywords

generalized manifoldsintegration by partsquasiregular mappings

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)

Cites Work

• Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds
• Quasiconformal maps in metric spaces with controlled geometry
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Geometric branched covers between generalized manifolds
• On the locally branched Euclidean metric gauge
• Finding curves on general spaces through quantitative topology, with applications to Sobolev and Poincaré inequalities
• Analytical foundations of the theory of quasiconformal mappings in R^n
• On the quasiregularity of a limit mapping
• Sobolev Spaces on Metric Measure Spaces
• Mappings of finite distortion from generalized manifolds
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