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

Donatella Bongiorno

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

Risultato della ricerca: Article › peer review

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 .

Lingua originale	English
pagine (da-a)	2986-2995
Numero di pagine	9
Rivista	Topology and its Applications
Volume	156
Stato di pubblicazione	Published - 2009

All Science Journal Classification (ASJC) codes

Geometry and Topology

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

abstract = "We prove that a variant of the Hencl{\textquoteright}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 .",

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author = "Donatella Bongiorno",

year = "2009",

language = "English",

volume = "156",

pages = "2986--2995",

journal = "Topology and its Applications",

issn = "0166-8641",

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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 -