Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 41, 2016, 321-341

INTEGRATION BY PARTS ON GENERALIZED MANIFOLDS AND APPLICATIONS ON QUASIREGULAR MAPS

Ville Kirsilä

University of Jyväskylä, Department of Mathematics and Statistics
P.O. Box 35 (MaD), FI-40014 University of Jyväskylä, Finland; ville.kirsila@jyu.fi

Abstract. We establish an integration by parts formula for Rⁿ-valued Sobolev maps on generalized manifolds and study some applications to quasiregular mappings, such as higher integrability of the Jacobian. For quasiregular mappings we also give a modulus of continuity estimate depending on the local index.

2010 Mathematics Subject Classification: Primary 30C65, 30L10.

Key words: Generalized manifolds, integration by parts, quasiregular mappings.

Reference to this article: Ville Kirsilä: Integration by parts on generalized manifolds and applications on quasiregular maps. Ann. Acad. Sci. Fenn. Math. 41 (2016), 321-341.

Full document as PDF file

doi:10.5186/aasfm.2016.4123