Bi-Sobolev mappings f : Omega subset of R-2 ->(onto) Omega' subset of R-2 have been defined as those homeomorphisms such that f and f(-1) belong to W-loc(1,1). We deduce regularity properties of the distortion of f from the regularity of the differential matrix Df-1 and conversely.
Bi-Sobolev mappings with differential matrices in Orlicz Zygmund classes / Giannetti, Flavia; PASSARELLI DI NAPOLI, Antonia. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 369:1(2010), pp. 346-356. [10.1016/j.jmaa.2010.03.034]
Bi-Sobolev mappings with differential matrices in Orlicz Zygmund classes
GIANNETTI, FLAVIA;PASSARELLI DI NAPOLI, ANTONIA
2010
Abstract
Bi-Sobolev mappings f : Omega subset of R-2 ->(onto) Omega' subset of R-2 have been defined as those homeomorphisms such that f and f(-1) belong to W-loc(1,1). We deduce regularity properties of the distortion of f from the regularity of the differential matrix Df-1 and conversely.File in questo prodotto:
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