On the problem of regularity in the Sobolev space W_loc^1,n.
- Autori: Bongiorno, D
- Anno di pubblicazione: 2009
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: 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 .