On the prescribed scalar curvature problem on \(S^{n}\). I: Asymptotic estimates and existence results
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Publication:344202
DOI10.1016/j.difgeo.2016.09.007zbMath1353.53046OpenAlexW2538600228WikidataQ115355605 ScholiaQ115355605MaRDI QIDQ344202
Publication date: 22 November 2016
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2016.09.007
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (7)
On the prescribed scalar curvature problem with very degenerate prescribed functions ⋮ On the Chen-Lin conjecture for the prescribed scalar curvature problem ⋮ Topological invariants for the scalar curvature problem on manifolds ⋮ On the boundary mean curvature equation on \(\mathbb{B}^{n}\) ⋮ The scalar curvature problem on four-dimensional manifolds ⋮ Conformal metrics with prescribed fractional \(Q\)-curvatures on the standard \(n\)-dimensional sphere ⋮ The concentrated solutions on the nonhomogeneous scalar curvature problem
Cites Work
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- Topological tools for the prescribed scalar curvature problem on \(S^n\)
- Prescribing the scalar curvature problem on higher-dimensional manifolds
- Existence results for the prescribed scalar curvature on \(S^3\)
- The scalar curvature flow on \(S ^{n }\)-perturbation theorem revisited
- The scalar-curvature problem on the standard three-dimensional sphere
- On the prescribed scalar curvature on 3-half spheres: Multiplicity results and Morse inequalities at infinity
- 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
- 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
- A topological hypothesis for the prescribed scalar curvature problem
- Prescribing scalar curvature on \(S^ N\). I: A priori estimates.
- Prescribing scalar curvature on \(S^ n\).
- 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
- 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
- Prescribing the Scalar Curvature Problem on Three and Four Manifolds
- Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness
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