An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space

DOI10.1515/advgeom-2021-0038zbMath1498.53007arXiv2105.04503OpenAlexW3161914973WikidataQ114053233 ScholiaQ114053233MaRDI QIDQ2157797

Paolo Caldiroli

Publication date: 22 July 2022

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04503

zbMATH Keywords

hyperspheresprescribed mean curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Bubbles with prescribed mean curvature: the variational approach
• \(H\)-bubbles in a perturbative setting: the finite-dimensional reduction method
• Embedded hyperspheres with prescribed mean curvature
• An obstruction to the existence of immersed curves of prescribed curvature
• Helicoidal trajectories of a charge in a nonconstant magnetic field
• \(H\)-bubbles with prescribed large mean curvature
• A general existence theorem for surfaces of constant mean curvature
• Planar loops with prescribed curvature: Existence, multiplicity and uniqueness results
• Multiple solutions ofH-systems and Rellich's conjecture
• Unnamed Item

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