Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds

DOI10.1016/j.na.2015.05.035zbMath1323.32023OpenAlexW2309424459MaRDI QIDQ499630

Najoua Gamara, Habiba Guemri, Amine Amri

Publication date: 30 September 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.05.035

zbMATH Keywords

CR manifoldsWebster scalar curvature

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) CR structures, CR operators, and generalizations (32V05)

Related Items (4)

Methods of the theory of critical points at infinity on Cauchy Riemann manifolds ⋮ β-flatness condition in CR spheres multiplicity results ⋮ The {\(\beta\)}-flatness condition in CR spheres ⋮ Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• A complete study of the lack of compactness and existence results of a fractional Nirenberg equation via a flatness hypothesis. I
• The impact of the flatness condition on the prescribed webster scalar curvature
• The Webster scalar curvature revisited: The case of the three dimensional \(C R\) sphere
• Multiplicity results for the prescribed webster scalar curvature on the three CR sphere under ``flatness condition
• CR Yamabe conjecture -- the conformally flat case.
• The scalar-curvature problem on the standard three-dimensional sphere
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Prescribing Gaussian curvature on S 2
• Conformal deformations of metric on \({\mathcal S}\) 2
• The Yamabe problem on CR manifolds
• Intrinsic CR normal coordinates and the CR Yamabe problem
• The existence of minimal immersions of 2-spheres
• 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
• A perturbation result for the Webster scalar curvature problem on the CR sphere.
• 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
• Existence and multiplicity results for the prescribed Webster scalar curvature problem on three CR manifolds
• The scalar-curvature problem on higher-dimensional spheres
• The Webster scalar curvature problem on the three dimensional CR manifolds
• Some existence results for the Webster scalar curvature problem in presence of symmetry
• The interplay between the CR “flatness condition” and existence results for the prescribed Webster scalar curvature
• The Prescribed Scalar Curvature on a 3 - Dimensional CR Manifold
• Multiplicity results for the prescribed scalar curvature on low spheres
• Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
• Scalar Curvatures on S 2
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• ON NIRENBERG'S PROBLEM
• The CR Yamabe conjecture. The case \(n=1\)

This page was built for publication: Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds