Infinitely many solutions to the Yamabe problem on noncompact manifolds

DOI10.5802/aif.3172zbMath1437.53023arXiv1603.07788OpenAlexW2309339387WikidataQ111288271 ScholiaQ111288271MaRDI QIDQ4557644

Renato G. Bettiol, Paolo Piccione

Publication date: 26 November 2018

Published in: Annales de l’institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07788

zbMATH Keywords

bifurcationYamabe problemconstant scalar curvaturenonuniqueness of solutionssingular Yamabe problemAubin's inequality

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Critical metrics (58E11) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Bifurcation theory for PDEs on manifolds (58J55)

Related Items (7)

Teichmüller theory and collapse of flat manifolds ⋮ Multiplicity of solutions to the Yamabe equation on warped products ⋮ Subspace foliations and collapse of closed flat manifolds ⋮ A variational analysis of the spinorial Yamabe equation on product manifolds ⋮ Multiplicity of singular solutions to the fractional Yamabe problem on spheres ⋮ The first eigenvalue of a homogeneous CROSS ⋮ Global bifurcation for a class of nonlinear ODEs

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