On the regularity theory of bi-Sobolev mappings

Claudia Capone; Maria Rosaria Formica; Raffaella Giova; Roberta Schiattarella

doi:10.4171/rlm/665

JournalsrlmVol. 24, No. 4pp. 527–548

On the regularity theory of bi-Sobolev mappings

Claudia Capone
Consiglio Nazionale delle Ricerche, Napoli, Italy
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Maria Rosaria Formica
Università degli Studi di Napoli Parthenope, Italy
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Raffaella Giova
Università degli Studi di Napoli Parthenope, Italy
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Roberta Schiattarella
Università degli Studi di Napoli Federico II, Italy
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Abstract

Let $Ω, Ω^{'} \subset R^{2}$ be bounded domains and let $f : Ω \to Ω^{'}$ be a bi-Sobolev mapping. We provide regularity properties for the inverse map $f^{-1}$ under suitable assumptions on $q$ -distortion function of $f$ .

Cite this article

Claudia Capone, Maria Rosaria Formica, Raffaella Giova, Roberta Schiattarella, On the regularity theory of bi-Sobolev mappings. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 24 (2013), no. 4, pp. 527–548

DOI 10.4171/RLM/665