Multiplicity results for the Yamabe equation by Lusternik-Schnirelmann theory
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Publication:1715464
DOI10.1016/J.JFA.2018.08.011zbMath1409.58013arXiv1611.01177OpenAlexW2962914493WikidataQ129398489 ScholiaQ129398489MaRDI QIDQ1715464
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
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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- Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres
- Multiplicity of solutions to the Yamabe problem on collapsing Riemannian submersions
- On bifurcation of solutions of the Yamabe problem in product manifolds
- The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
- On Yamabe constants of Riemannian products
- Symmetry and asymmetry: the method of moving spheres
- Scalar curvature of a metric with unit volume
- Nonuniqueness and high energy solutions for a conformally invariant scalar equation
- Isoparametric hypersurfaces and metrics of constant scalar curvature
- Degenerate solutions of a nonlinear elliptic equation on the sphere
- On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds
- How to conjugate C\(^1\)-close group actions
- A note on the uniqueness of solutions for the Yamabe problem
- Blow-up phenomena for the Yamabe equation
- Metrics of constant scalar curvature conformal to Riemannian products
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