Some existence results for the scalar curvature problem via Morse theory

zbMath1021.53022MaRDI QIDQ1848129

Andrea Malchiodi

Publication date: 31 October 2002

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Morse theoryperturbation methodscalar curvatureelliptic equationscritical Sobolev exponent

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

A prescribed scalar curvature-type equation: Almost critical manifolds and multiple solutions., Perturbations of Paneitz-Branson operators on \(S^n\)