On the bifurcation of solutions of the Yamabe problem in product manifolds with minimal boundary

DOI10.1515/anona-2015-0170zbMath1381.53068arXiv1503.08514OpenAlexW2963216104MaRDI QIDQ682057

Ana Cláudia da Silva Moreira, Elkin Dario Cárdenas Diaz

Publication date: 13 February 2018

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08514

zbMATH Keywords

Yamabe problembifurcation theory

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Critical metrics (58E11) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32) Bifurcations in context of PDEs (35B32)

Related Items (2)

Bifurcation of metrics with null scalar curvature and constant mean curvature on the boundary of compact manifolds ⋮ Nonuniqueness for a fully nonlinear boundary Yamabe-type problem via bifurcation theory

Cites Work

• 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
• Compactness and non-compactness for the Yamabe problem on manifolds with boundary
• On the second derivative of the total scalar curvature
• An existence theorem of conformal scalar-flat metrics on manifolds with boundary
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
• The Yamabe problem on manifolds with boundary
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• The Yamabe problem on manifolds with boundary: Existence and compactness results
• A note on the uniqueness of solutions for the Yamabe problem
• Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate
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