Min-max minimal hypersurfaces in non-compact manifolds

DOI10.4310/JDG/1468517502zbMath1377.53081arXiv1405.3712OpenAlexW2963587050WikidataQ115166688 ScholiaQ115166688MaRDI QIDQ309701

Rafael Montezuma

Publication date: 7 September 2016

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3712

zbMATH Keywords

maximum principleminimal surfaceharmonic functionLaplacianarea functionalmin-max theory

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (9)

Min-max theory for free boundary minimal hypersurfaces. II: General Morse index bounds and applications ⋮ Existence of infinitely many minimal hypersurfaces in closed manifolds ⋮ A mountain pass theorem for minimal hypersurfaces with fixed boundary ⋮ Morse index of multiplicity one min-max minimal hypersurfaces ⋮ Asymptotically flat three-manifolds contain minimal planes ⋮ Existence of minimal hypersurfaces in complete manifolds of finite volume ⋮ On free-boundary minimal surfaces in the Riemannian Schwarzschild manifold ⋮ Min-max theory for constant mean curvature hypersurfaces ⋮ A mountain-pass theorem for asymptotically conical self-expanders

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