On nodal solutions of the Yamabe equation on products

DOI10.1016/j.geomphys.2009.07.003zbMath1177.53040OpenAlexW2092702137MaRDI QIDQ730806

Jimmy Petean

Publication date: 1 October 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2009.07.003

zbMATH Keywords

Riemannian productconstant scalar curvatureYamabe invariantsecond Yamabe invariant

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (6)

Multiplicity of nodal solutions to the Yamabe problem ⋮ The equivariant second Yamabe constant ⋮ Second Yamabe constant on Riemannian products ⋮ Low energy nodal solutions to the Yamabe equation ⋮ Isoparametric functions and nodal solutions of the Yamabe equation ⋮ Energy bounds of sign-changing solutions to Yamabe equations on manifolds with boundary

Cites Work

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• On Yamabe constants of Riemannian products
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Nodal solutions on Riemannian manifolds
• Existence and multiplicity of nodal solutions for nonlinear elliptic equations with critical Sobolev growth
• Surgery and the Yamabe invariant
• The second Yamabe invariant
• Yamabe metrics on cylindrical manifolds
• MULTIPLE SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS ON COMPACT RIEMANNIAN MANIFOLDS

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