Planar closed curves with prescribed curvature

DOI10.3934/DCDS.2024056MaRDI QIDQ6592952

Paolo Caldiroli, Anna Capietto

Publication date: 26 August 2024

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

variational methodsprescribed curvatureplanar curvesmonotonicity trick

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Length, area and volume in real or complex geometry (51M25) Curves in Euclidean and related spaces (53A04)

Cites Work

• Title not available (Why is that?)
• Symmetric \(\kappa \)-loops.
• An obstruction to the existence of immersed curves of prescribed curvature
• Helicoidal trajectories of a charge in a nonconstant magnetic field
• The existence of surfaces of constant mean curvature with free boundaries
• Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces
• Closed curves of prescribed curvature and a pinning effect
• On the dynamics of a charged particle in magnetic fields with cylindrical symmetry
• Planar loops with prescribed curvature: Existence, multiplicity and uniqueness results
• Bounded Palais-Smale mountain-pass sequences
• The Isoperimetric Inequality and the Lebesgue Definition of Surface Area

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