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On the problem of regularity in the Sobolev space Wloc1,n

2009

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 .

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)MathematicsTopology and its Applications
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