The trace theorem, the Luzin \(N\)- and Morse-Sard properties for the sharp case of Sobolev-Lorentz mappings
type: Item
instance of: scholarly article
title: The trace theorem, the Luzin \(N\)- and Morse-Sard properties for the sharp case of Sobolev-Lorentz mappings
zbMATH Open document ID: 1430.58005
author: M. V. Korobkov
author: Jan Kristensen
published in: The Journal of Geometric Analysis
publication date: 2019-01-16T00:00:00Z
review text: The authors obtain new interesting results in the study of the Luzin N- and Morse-Sard properties for the Sobolev mappings under minimal integrability assumptions initiated in their previous papers [Rev. Mat. Iberoam. 29, No. 1, 1--23 (2013; Zbl 1273.26017); J. Reine Angew. Math. 700, 93--112 (2015; Zbl 1322.46022); Indiana Univ. Math. J. 63, No. 6, 1703--1724 (2014; Zbl 1312.58012)].
reviewed by: Dorin Andrica
Mathematics Subject Classification ID: 58C25
Mathematics Subject Classification ID: 26B10
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 7002654
zbMATH Keywords: Sobolev-Lorentz space
zbMATH Keywords: Luzin N-property
zbMATH Keywords: Morse-Sard theorem
zbMATH Keywords: trace theorem
zbMATH Keywords: Riesz potentials
zbMATH Keywords: approximation
MaRDI profile type: Publication
full work available at URL: s12220-017-9936-7
OpenAlex ID: W2419112215
Wikidata QID: Q92162570
cites work: Q3807528
cites work: A trace inequality for generalized potentials
cites work: On the existence of capacitary strong type estimates in \(R^n\)
cites work: My Love Affair with the Sobolev Inequality
cites work: Morrey spaces
cites work: Bessel capacity, Hausdorff content and the tangential boundary behavior of harmonic functions
cites work: Toward a Precise Smoothness Hypothesis in Sard's Theorem
cites work: Sard's theorem for mappings in Hölder and Sobolev spaces
cites work: Pointwise inequalities for Sobolev functions revisited
cites work: Q4321362
cites work: On the Morse-Sard property and level sets of Sobolev and BV functions
cites work: On the Morse-Sard property and level sets of \(W^{n,1}\) Sobolev functions on \(\mathbb{R}^n\)
cites work: Morse-Sard theorem in Sobolev spaces
cites work: Q3032766
cites work: SETS OF POINTS OF DEGENERACY
cites work: Q3134551
cites work: Two theorems in geometric measure theory
cites work: Q5565773
cites work: The uncertainty principle
cites work: A simple proof of the Morse-Sard theorem in Sobolev spaces
cites work: Q3852455
cites work: On functions with derivatives in a Lorentz space
cites work: The trace inequality and eigenvalue estimates for Schrödinger operators
cites work: On the Morse-Sard Theorem for the sharp case of Sobolev mappings
cites work: Solution of Leray's problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains
cites work: Lusin's condition (N) and mappings of the class W1, n.
cites work: Q3995421
cites work: Theory of Sobolev Multipliers
cites work: Q3068291
cites work: The measure of the critical values of differentiable maps
cites work: Q5607484
cites work: Q5640160
cites work: Weakly Differentiable Functions
DOI: 10.1007/S12220-017-9936-7
description: scientific article; zbMATH DE number 7002654