Prescribing Morse scalar curvatures: critical points at infinity
From MaRDI portal
Publication:2119563
DOI10.1515/acv-2019-0009zbMath1485.58014arXiv1901.06409OpenAlexW2914618925WikidataQ114007293 ScholiaQ114007293MaRDI QIDQ2119563
Publication date: 29 March 2022
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.06409
Asymptotic behavior of solutions to PDEs (35B40) 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)
Related Items (6)
Correction to: ``On the Chen-Lin conjecture for the prescribed scalar curvature problem ⋮ Prescribing Morse scalar curvatures: incompatibility of non existence ⋮ On the Chen-Lin conjecture for the prescribed scalar curvature problem ⋮ Prescribing Morse Scalar Curvatures: Pinching and Morse Theory ⋮ Prescribing scalar curvatures: non compactness versus critical points at infinity ⋮ Prescribing Morse scalar curvatures: subcritical blowing-up solutions
Cites Work
- Unnamed Item
- Unnamed Item
- A scalar curvature flow in low dimensions
- The scalar-curvature problem on the standard three-dimensional sphere
- Convergence of the Yamabe flow for arbitrary initial energy
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Prescribing Gaussian curvature on S 2
- Barycenter technique and the Riemann mapping problem of Cherrier-Escobar
- Infinite dimensional Morse theory and multiple solution problems
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- On the prescribed scalar curvature problem on 4-manifolds
- An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
- The scalar-curvature problem on higher-dimensional spheres
- Prescribing scalar curvatures: non compactness versus critical points at infinity
- Prescribing Morse scalar curvatures: subcritical blowing-up solutions
- \(Q\)-curvature flow on \(S^4\)
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Multiplicity results for the prescribed scalar curvature on low spheres
- The Yamabe problem
- Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness
- Prescribing Morse Scalar Curvatures: Blow-Up Analysis
This page was built for publication: Prescribing Morse scalar curvatures: critical points at infinity