Bifurcation for minimal surface equation in hyperbolic 3-manifolds

DOI10.1016/j.anihpc.2020.07.001zbMath1465.53074arXiv1908.06457OpenAlexW3041725547WikidataQ115589641 ScholiaQ115589641MaRDI QIDQ2226507

Zheng Huang, Marcello Lucia, Grabriella Tarantello

Publication date: 8 February 2021

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06457

zbMATH Keywords

minimal immersionsblow-up analysishyperbolic three-manifoldsMoser-Trudinger functional

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

On the blow-up analysis at collapsing poles for solutions of singular Liouville-type equations ⋮ Asymptotics for minimizers of a Donaldson functional and mean curvature 1-immersions of surfaces into hyperbolic 3-manifolds ⋮ Cyclic Higgs bundles and minimal surfaces in pseudo-hyperbolic spaces ⋮ On a convexity property of the space of almost Fuchsian immersions ⋮ On the asymptotics for minimizers of Donaldson functional in Teichmüller theory

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