Multiplicity results for the Yamabe equation by Lusternik-Schnirelmann theory

DOI10.1016/J.JFA.2018.08.011zbMath1409.58013arXiv1611.01177OpenAlexW2962914493WikidataQ129398489 ScholiaQ129398489MaRDI QIDQ1715464

Jimmy Petean

Publication date: 4 February 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01177

zbMATH Keywords

scalar curvatureYamabe problemLusternik-Schnirelmann category

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Elliptic equations on manifolds, general theory (58J05)

Related Items (4)

Multipeak solutions for the Yamabe equation ⋮ Multiplicity of solutions to the Yamabe equation on warped products ⋮ Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold ⋮ Solutions of the Yamabe equation by Lyapunov-Schmidt reduction

Cites Work

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• How to conjugate C\(^1\)-close group actions
• A note on the uniqueness of solutions for the Yamabe problem
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• Metrics of constant scalar curvature conformal to Riemannian products

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