Phases of unimodular complex valued maps: optimal estimates, the factorization method, and the sum-intersection property of Sobolev spaces
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Publication:892697
DOI10.1016/j.anihpc.2014.04.005zbMath1339.46037OpenAlexW1975244385MaRDI QIDQ892697
Publication date: 11 November 2015
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.anihpc.2014.04.005
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Cites Work
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- \(\mathbb S^1\)-valued Sobolev maps
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- Inequalities related to liftings and applications
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- BMO from dyadic BMO
- Lifting of BV functions with values in \(S^1\)
- Lifting in Sobolev spaces
- Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces
- Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
- \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
- Degree theory of BMO. I: Compact manifolds without boundaries
- Wavelets and Besov spaces
- Monotonicity of certain functionals under rearrangement
- Traces of weighted Sobolev spaces. Old and new
- Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu)
- Classical Fourier Analysis
- Lifting, degree, and distributional Jacobian revisited
- Equivalent Norms for Sobolev Spaces
- Imbedding theorems for weighted classes
- Sobolev Spaces
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