A bridge between Dubovitskiĭ-Federer theorems and the coarea formula (Q350541)

scientific article; zbMATH DE number 6662135

Language	Label	Description	Also known as
English	A bridge between Dubovitskiĭ-Federer theorems and the coarea formula	scientific article; zbMATH DE number 6662135

Statements

instance of

scholarly article

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title

A bridge between Dubovitskiĭ-Federer theorems and the coarea formula (English)

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Journal of Functional Analysis

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publication date

7 December 2016

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full work available at URL

https://arxiv.org/abs/1603.05858

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zbMATH Keywords

Sobolev-Lorentz mappings

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Luzin $N$-property

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Morse-Sard theorem

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coarea formula

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Bessel capacity, Hausdorff content and the tangential boundary behavior of harmonic functions

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Generalized $N$-property and Sard theorem for Sobolev maps

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Rectifiable sets in metric and Banach spaces

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Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps

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Toward a Precise Smoothness Hypothesis in Sard's Theorem

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Sard's theorem for mappings in Hölder and Sobolev spaces

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Pointwise inequalities for Sobolev functions revisited

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Q4321362

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On the Morse-Sard property and level sets of Sobolev and BV functions

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On the Morse-Sard property and level sets of $W^{n,1}$ Sobolev functions on $\mathbb{R}^n$

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Whitney property in two dimensional Sobolev spaces

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Q3231302

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Morse-Sard theorem in Sobolev spaces

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Q3032766

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Q5509085

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SETS OF POINTS OF DEGENERACY

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Q3029673

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Q4431283

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Two theorems in geometric measure theory

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Q5565773

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A simple proof of the Morse-Sard theorem in Sobolev spaces

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The Dubovitskii-Sard theorem in Sobolev spaces

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Dimension distortion of images of sets under Sobolev mappings

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Rectifiable sets and coarea formula for metric-valued mappings

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Sobolev spaces, dimension, and random series

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On functions with derivatives in a Lorentz space

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On the Morse-Sard Theorem for the sharp case of Sobolev mappings

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The trace theorem, the Luzin $N$- and Morse-Sard properties for the sharp case of Sobolev-Lorentz mappings

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Solution of Leray's problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains

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Q5807757

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Q4305504

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Lusin's condition (N) and mappings of the class W1, n.

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Q4431890

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The co-area formula for Sobolev mappings

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Q3995421

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Hausdorff measures and the Morse-Sard theorem

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The behavior of a function on its critical set

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A Critical Set with Nonnull Image has Large Hausdorff Dimension

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Q4200433

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Morse-Sard theorem for d.c. functions and mappings on $\mathbb{R}^2$

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Q3068291

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The measure of the critical values of differentiable maps

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Q5607484

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The Morse-Sard theorem for Sobolev spaces in a borderline case

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The Morse-Sard theorem in $W^{n,n} (\Omega)$: A simple proof

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The geometry of critical and near-critical values of differentiable mappings

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Weakly Differentiable Functions

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Identifiers

zbMATH Open document ID

1416.58004

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Mathematics Subject Classification ID

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10.1016/J.JFA.2016.10.031

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Sitelinks

Mathematics(1 entry)

mardi Publication:350541