The Morse-Sard theorem in \(W^{n,n} (\Omega)\): A simple proof
From MaRDI portal
Publication:441897
DOI10.1016/j.bulsci.2010.02.001zbMath1251.46016OpenAlexW2055244278MaRDI QIDQ441897
Publication date: 8 August 2012
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2010.02.001
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Hausdorff and packing measures (28A78) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items (4)
A bridge between Dubovitskiĭ-Federer theorems and the coarea formula ⋮ The generalized Morse-Sard theorem ⋮ On some universal Morse-Sard type theorems ⋮ Nonsmooth Morse-Sard theorems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Morse-Sard theorem for Sobolev spaces in a borderline case
- Images of critical sets
- Lectures on analysis on metric spaces
- A multifractal formalism
- Sobolev spaces on an arbitrary metric space
- A function not constant on a connected set of critical points
- A simple proof of the Morse-Sard theorem in Sobolev spaces
- Fractal measures and their singularities: The characterization of strange sets
- A Critical Set with Nonnull Image has Large Hausdorff Dimension
- Singularity spectrum for recurrent IFS attractors
- Pointwise inequalities for Sobolev functions revisited
- Morse-Sard theorem in Sobolev spaces
- The measure of the critical values of differentiable maps
This page was built for publication: The Morse-Sard theorem in \(W^{n,n} (\Omega)\): A simple proof
