Concentration of small Willmore spheres in Riemannian 3-manifolds

DOI10.2140/apde.2014.7.1901zbMath1322.49071arXiv1310.7082OpenAlexW3099273686WikidataQ115231071 ScholiaQ115231071MaRDI QIDQ2340105

Paul Laurain, Andrea Mondino

Publication date: 16 April 2015

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7082

zbMATH Keywords

Willmore functionalblow-up techniquenonlinear elliptic PDEsconcentration phenomenaHawking massRiemannian 3-manifolds

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) General relativity (83C99) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Local solutions to a free boundary problem for the Willmore functional ⋮ Local foliations by critical surfaces of the Hawking energy and small sphere limit ⋮ Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity ⋮ Local foliation of manifolds by surfaces of Willmore-type

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