Inequalities related to liftings and applications

DOI10.1016/J.CRMA.2008.07.026zbMath1157.46016OpenAlexW2047713588MaRDI QIDQ950125

Hoai-Minh Nguyen

Publication date: 22 October 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://infoscience.epfl.ch/record/214980/files/Lifting1.pdf

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Manifolds of mappings (58D15)

Related Items (10)

Phases of unimodular complex valued maps: optimal estimates, the factorization method, and the sum-intersection property of Sobolev spaces ⋮ \(\mathbb S^1\)-valued Sobolev maps ⋮ Uniform boundedness principles for Sobolev maps into manifolds ⋮ Estimates for the topological degree and related topics ⋮ Lifting in Besov spaces ⋮ Lifting default for \(\mathbb S^1\)-valued maps ⋮ Decomposition of \(\mathbb S^1\)-valued maps in Sobolev spaces ⋮ Profile decomposition and phase control for circle-valued maps in one dimension ⋮ Metric characterization of the sum of fractional Sobolev spaces ⋮ Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps

Cites Work

• A new estimate for the topological degree
• Lifting default for \(\mathbb S^1\)-valued maps
• \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
• Degree theory of BMO. I: Compact manifolds without boundaries
• Optimal constant in a new estimate for the degree
• Lifting, degree, and distributional Jacobian revisited
• On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
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