Existence results for the prescribed scalar curvature on \(S^3\)
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Publication:660440
DOI10.5802/aif.2634zbMath1235.35118OpenAlexW2326431004MaRDI QIDQ660440
Hichem Chtioui, Randa Ben Mahmoud
Publication date: 2 February 2012
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/219831
Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Positive solutions to PDEs (35B09)
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Cites Work
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- The scalar-curvature problem on the standard three-dimensional sphere
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Conformal metrics with prescribed scalar curvature
- A perturbation result in prescribing scalar curvature on \(S^ n\)
- Periodic solutions of Hamiltonian systems of 3-body type
- Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- Prescribing scalar curvature on \(\mathbb{S}^ 3\), \(\mathbb{S}^ 4\) and related problems
- The scalar curvature equation on 2- and 3-spheres
- A topological hypothesis for the prescribed scalar curvature problem
- Prescribing scalar curvature on \(S^ N\). I: A priori estimates.
- On the prescribed scalar curvature problem on 4-manifolds
- Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
- Prescribed scalar curvature on the \(n\)-sphere
- An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
- Prescribing the Scalar Curvature Problem on Three and Four Manifolds
- Cuplength estimates on lagrangian intersections
- Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness
