Prescribing Morse Scalar Curvatures: Pinching and Morse Theory
DOI10.1002/cpa.22037arXiv1909.03190OpenAlexW2971860064MaRDI QIDQ6179348
Martin Mayer, Andrea Malchiodi
Publication date: 16 December 2023
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.03190
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Index theory and related fixed-point theorems on manifolds (58J20) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Blow-up in context of PDEs (35B44) Conformal structures on manifolds (53C18)
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Cites Work
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- A scalar curvature flow in low dimensions
- The scalar curvature flow on \(S ^{n }\)-perturbation theorem revisited
- The scalar-curvature problem on the standard three-dimensional sphere
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
- A compactness theorem for the Yamabe problem
- On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
- Conformal metrics with prescribed scalar curvature
- Prescribing Gaussian curvature on S 2
- Conformal deformations of metric on \({\mathcal S}\) 2
- The existence of minimal immersions of 2-spheres
- A perturbation result in prescribing scalar curvature on \(S^ n\)
- Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations
- Scalar curvature and conformal deformation of Riemannian structure
- Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- Best constant in Sobolev inequality
- A variational approach to the equation \({\triangle}u+Ku^{{n+2}/{n- 2}}=0\) in \(\mathbb{R}^ n\)
- Estimate of the conformal scalar curvature equation via the method of moving planes. II
- Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics
- The scalar curvature equation on 2- and 3-spheres
- A priori estimates for prescribing scalar curvature equations
- Algebraic topology methods for the prescribed scalar curvature problem
- A perturbation result for prescribing mean curvature
- Prescribing scalar curvature on \(S^ N\). I: A priori estimates.
- The scalar curvature problem on \(S^n\): An approach via Morse theory
- Infinite dimensional Morse theory and multiple solution problems
- On the prescribed scalar curvature problem on 4-manifolds
- Refined asymptotic estimates for conformal scalar curvature equation via moving sphere method
- On the scalar curvature equation \(-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}\) in \({\mathbb R}^N\)
- Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
- Prescribed scalar curvature on the \(n\)-sphere
- The scalar curvature equation on \(\mathbb{R}^ n\) and \(S^ n\)
- An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
- The scalar-curvature problem on higher-dimensional spheres
- Constant scalar curvature metrics with isolated singularities
- Prescribing scalar curvatures: non compactness versus critical points at infinity
- Prescribing Morse scalar curvatures: critical points at infinity
- Curvature functions for compact 2-manifolds
- Prescribing Morse scalar curvatures: subcritical blowing-up solutions
- \(Q\)-curvature flow on \(S^4\)
- Asymptotic symmetries for conformal scalar curvature equations with singularity
- Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non-locally conformally flat manifolds
- A flow approach to Nirenberg's problem
- A note on the uniqueness of solutions for the Yamabe problem
- Conformal scalar curvature equation on Sn: Functions with two close critical points (Twin Pseudo-Peaks)
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Scalar Curvature Functions in a Conformal Class of Metrics and Conformal Transformations
- The Yamabe problem
- Scalar Curvatures on S 2
- Blowing up with infinite energy of conformal metrics on Sn
- Estimates of the conformal scalar curvature equation via the method of moving planes
- YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS
- Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness
- Prescribing Morse Scalar Curvatures: Blow-Up Analysis
- CONSTRUCTION OF BLOW-UP SEQUENCES FOR THE PRESCRIBED SCALAR CURVATURE EQUATION ON Sn I: UNIFORM CANCELLATION
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