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DONATELLA BONGIORNO

On the problem of regularity in the Sobolev space W_loc^1,n.

  • Authors: Bongiorno, D
  • Publication year: 2009
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Absolute continuity, Differentiability, Lusin’s condition (N), Change of variables formulas
  • OA Link: http://hdl.handle.net/10447/62495

Abstract

We prove that a variant of the Hencl’s notion of AC^n λ-mapping (see [S. Hencl, On the notions of absolute continuity for functions of several variables, Fund. Math. 173 (2002) 175–189]), in which λ is not a constant, produces a new solution to the problem of regularity in the Sobolev space W^{1,N}_loc .