TY - JOUR
T1 - On the problem of regularity in the Sobolev space W_loc^1,n.
AU - Bongiorno, Donatella
PY - 2009
Y1 - 2009
N2 - 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 .
AB - 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 .
KW - Absolute continuity
KW - Change of variables formulas
KW - Differentiability
KW - Lusin’s condition (N)
KW - Absolute continuity
KW - Change of variables formulas
KW - Differentiability
KW - Lusin’s condition (N)
UR - http://hdl.handle.net/10447/62495
M3 - Article
VL - 156
SP - 2986
EP - 2995
JO - Topology and its Applications
JF - Topology and its Applications
SN - 0166-8641
ER -