Critical points for Sobolev homeomorphisms

  • Carlo Sbordone

    Università degli Studi di Napoli Federico II, Italy
  • Roberta Schiattarella

    Università degli Studi di Napoli Federico II, Italy

Abstract

We consider a class of homeomorphisms of the Sobolev space whose Jacobian may vanish on a set of positive measure but cannot be zero a.e. in . This class is defined by the bi-Sobolev condition

and reveals useful also in the theory of changes of variables for Sobolev functions.

Cite this article

Carlo Sbordone, Roberta Schiattarella, Critical points for Sobolev homeomorphisms. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 22 (2011), no. 2, pp. 207–222

DOI 10.4171/RLM/596