A variational approach to \(S^1\)-harmonic maps and applications

DOI10.1016/j.jfa.2023.110147arXiv2111.14769OpenAlexW3217023075MaRDI QIDQ6056506

Filippo Gaia, Tristan Rivière

Publication date: 2 October 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.14769

zbMATH Keywords

harmonic mapsvariational problemsgeometric analysis

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Harmonic maps, etc. (58E20)

Cites Work

• A frame energy for immersed tori and applications to regular homotopy classes
• A regularity theory for harmonic maps
• Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
• Lifting in Sobolev spaces
• Minimizing area among Lagrangian surfaces: the mapping problem.
• A remark on \(H^ 1\) mappings
• Towards the Willmore conjecture
• Lagrangian homology classes without regular minimizers
• Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
• Willmore minmax surfaces and the cost of the sphere eversion
• Classical Fourier Analysis
• Modern Fourier Analysis
• Sobolev Maps to the Circle
• Ginzburg-Landau vortices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A variational approach to \(S^1\)-harmonic maps and applications