6533b85afe1ef96bd12b8da8
RESEARCH PRODUCT
On the problem of regularity in the Sobolev space Wloc1,n
Donatella Bongiornosubject
Pure mathematicsDifferentiabilityMathematical analysisAbsolute continuity Differentiability Lusin’s condition (N) Change of variables formulasChange of variables formulasAbsolute continuityAbsolute continuityLusin's condition (N)Sobolev inequalitySobolev spaceSettore MAT/05 - Analisi MatematicaGeometry and TopologyDifferentiable functionConstant (mathematics)Mathematicsdescription
Abstract We prove that a variant of the Hencl's notion of A C λ n -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 loc 1 , n .
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-12-01 | Topology and its Applications |