Multiple solutions to the Yamabe problem

DOI10.1134/S1064562406040041zbMath1132.53019MaRDI QIDQ2477444

Yavdat Sh. Il'yasov, Youri V. Egorov

Publication date: 13 March 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

scalar curvaturemean curvaturecritical Palais-Smale level

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

On a weak solution for a doubly critical fourth-order semilinear elliptic equation in a compact manifold

Cites Work

• Problèmes de Neumann non linéaires sur les variétés riemanniennes
• The concentration-compactness principle in the calculus of variations. The limit case. I
• 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
• Conformal metrics with prescribed mean curvature on the boundary
• Multiple positive solutions of some quasilinear neumann problems
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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