Generic properties of critical points of the scalar curvature for a Riemannian manifold

DOI10.1090/S0002-9939-10-10382-7zbMath1198.53036WikidataQ115290063 ScholiaQ115290063MaRDI QIDQ4929996

Angela Pistoia, Anna Maria Micheletti

Publication date: 27 September 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

scalar curvaturenondegenerate critical points

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (6)

Multipeak solutions for the Yamabe equation ⋮ Existence of self-Cheeger sets on Riemannian manifolds ⋮ Some generic properties of non degeneracy for critical points of functionals and applications ⋮ The role of the scalar curvature in some singularly perturbed coupled elliptic systems on Riemannian manifolds ⋮ Nondegeneracy of critical points of the mean curvature of the boundary for Riemannian manifolds ⋮ Solutions of the Yamabe equation by Lyapunov-Schmidt reduction

Cites Work

• Multiplicity of solutions of a zero mass nonlinear equation on a Riemannian manifold
• Multipeak solutions for some singularly perturbed nonlinear elliptic problems on Riemannian manifolds
• The role of the scalar curvature in a nonlinear elliptic problem on Riemannian manifolds
• On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds
• Multiple existence of solutions for a nonlinear elliptic problem on a Riemannian manifold
• Singularly perturbed nonlinear elliptic problems on manifolds
• On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds
• Nodal Solutions for a Singularly Perturbed Nonlinear Elliptic Problem on Riemannian Manifolds
• Generic properties of nonlinear boundary value problems
• Generic Properties of Eigenfunctions

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