The scalar curvature problem on four-dimensional manifolds
From MaRDI portal
Publication:2286194
DOI10.3934/cpaa.2020034zbMath1439.35168OpenAlexW2981301773WikidataQ126862761 ScholiaQ126862761MaRDI QIDQ2286194
Hichem Chtioui, Marwa Soula, Hichem Hajaiej
Publication date: 10 January 2020
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2020034
Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
Related Items (5)
Topological differences at infinity for nonlinear problems related to the fractional Laplacian ⋮ On the Chen-Lin conjecture for the prescribed scalar curvature problem ⋮ Topological invariants for the scalar curvature problem on manifolds ⋮ Unnamed Item ⋮ Remarks on: ``Existence result for an elliptic equation involving critical exponent in three dimensional domains
Cites Work
- Unnamed Item
- Unnamed Item
- On the prescribed scalar curvature problem on \(S^{n}\). I: Asymptotic estimates and existence results
- Prescribing the scalar curvature problem on higher-dimensional manifolds
- On the prescribed Q-curvature problem on \(S^n\)
- Existence results for the prescribed scalar curvature on \(S^3\)
- The scalar-curvature problem on the standard three-dimensional sphere
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Conformal metrics with prescribed scalar curvature
- Proof of the positive mass theorem. II
- 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
- On the proof of the positive mass conjecture in general relativity
- 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
- Prescribing scalar curvature on \(\mathbb{S}^ 3\), \(\mathbb{S}^ 4\) and related problems
- The scalar curvature equation on 2- and 3-spheres
- Algebraic topology methods for the prescribed scalar curvature problem
- Prescribing scalar curvature on \(S^ N\). I: A priori estimates.
- Conformal metrics of prescribed scalar curvature on 4-manifolds: the degree zero case
- 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
- Conformal transformation of metrics on the \(n\)-sphere
- Scalar curvature equation on \(S^n\). I: Topological conditions
- The Yamabe problem
- On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
- Estimates of the conformal scalar curvature equation via the method of moving planes
- Prescribing the Scalar Curvature Problem on Three and Four Manifolds
- Generalized scalar curvature type equations on compact Riemannian manifolds
- Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness
This page was built for publication: The scalar curvature problem on four-dimensional manifolds
