An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
From MaRDI portal
Publication:1919611
DOI10.1215/S0012-7094-96-08116-8zbMath0856.53028OpenAlexW1555535055MaRDI QIDQ1919611
Publication date: 5 September 1996
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-96-08116-8
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamics induced by flows and semiflows (37C10) Global Riemannian geometry, including pinching (53C20) Differential invariants (local theory), geometric objects (53A55)
Related Items (only showing first 100 items - show all)
On a fractional Nirenberg problem involving the square root of the Laplacian on \(\mathbb{S}^3\) ⋮ On the Chen-Lin conjecture for the prescribed scalar curvature problem ⋮ Topological invariants for the scalar curvature problem on manifolds ⋮ Prescribing Morse Scalar Curvatures: Pinching and Morse Theory ⋮ On the prescribed fractional \(Q\)-curvatures problem on \(\mathbb{S}^n\) under pinching conditions ⋮ Prescribing Morse scalar curvatures: critical points at infinity ⋮ Prescribing \(Q\)-curvature on higher dimensional spheres ⋮ On a nonlinear elliptic fractional equation on higher dimensional domain ⋮ On a fractional Nirenberg type problem on the n-dimensional sphere ⋮ PRESCRIBING MEAN CURVATURE ON 𝔹n ⋮ On a variational problem involving critical Sobolev growth in dimension three ⋮ Existence results for the fractional Nirenberg problem ⋮ The Webster scalar curvature problem on the three dimensional CR manifolds ⋮ On a nonlinear elliptic equation involving the critical Sobolev exponent ⋮ Critical points at infinity in a fourth order elliptic problem with limiting exponent ⋮ On a fractional Nirenberg problem on \(n\)-dimensional spheres: existence and multiplicity results ⋮ Morse inequalities at infinity for a resonant mean field equation ⋮ Scalar curvature equation on \(S^n\). I: Topological conditions ⋮ New existence results for prescribed mean curvature problem on balls under pinching conditions ⋮ Conformal flat metrics with prescribed mean curvature on the boundary ⋮ Conformal transformation of metrics on the \(n\)-ball ⋮ The fractional CR curvature equation on the three-dimensional CR sphere ⋮ Note on an inequality ⋮ Topological differences at infinity for nonlinear problems related to the fractional Laplacian ⋮ Blow-up and symmetry of sign-changing solutions to some critical elliptic equations ⋮ On the prescribed scalar curvature problem on \(S^{n}\). I: Asymptotic estimates and existence results ⋮ Topological Methods for Boundary Mean Curvature Problem on Bn ⋮ Nonlinear problem with subcritical exponent in Sobolev space ⋮ Existence results for the fractional Q-curvature problem on three dimensional CR sphere ⋮ The Paneitz curvature problem on lower-dimensional spheres ⋮ Existence of conformal metrics with prescribed Q-curvature ⋮ A Complete Study of the Lack of Compactness and Existence Results of a Fractional Nirenberg Equation via a Flatness Hypothesis. Part II ⋮ Compactness and existence results for an elliptic PDE with zero Dirichlet boundary condition ⋮ The difference of topology at infinity in changing-sign Yamabe problems on ?3 (the case of two masses) ⋮ The prescribed boundary mean curvature problem on the standard \(n\)-dimensional ball ⋮ The Paneitz curvature problem on \(S^n\) ⋮ The impact of the flatness condition on the prescribed webster scalar curvature ⋮ Existence of conformal metrics with prescribed scalar curvature on the four dimensional half sphere ⋮ Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres ⋮ Topological tools for the prescribed scalar curvature problem on \(S^n\) ⋮ Conformal metrics of prescribed scalar curvature on 4-manifolds: the degree zero case ⋮ Prescribing the scalar curvature problem on the four-dimensional half sphere ⋮ Methods of the theory of critical points at infinity on Cauchy Riemann manifolds ⋮ Bahri invariants for fractional Nirenberg-type flows ⋮ Compactness and existence results of the prescribing fractional \(Q\)-curvature problem on \(\mathbb{S}^n\) ⋮ \(Q\)-curvature problem on \(S^{n}\) under flatness condition: the case \(\beta=n\) ⋮ A Morse lemma at infinity for Yamabe type problems on domains. ⋮ Prescribing Morse scalar curvatures: incompatibility of non existence ⋮ β-flatness condition in CR spheres multiplicity results ⋮ Prescribing scalar and boundary mean curvature on the three dimensional half sphere ⋮ The Webster scalar curvature revisited: The case of the three dimensional \(C R\) sphere ⋮ Existence and multiplicity results for the prescribed Webster scalar curvature problem on three CR manifolds ⋮ On the prescribed scalar curvature problem on \(S^n\): the degree zero case ⋮ On a Nirenberg-type problem involving the square root of the Laplacian ⋮ On a geometric equation involving the Sobolev trace critical exponent ⋮ On the prescribed Q-curvature problem on \(S^n\) ⋮ Positive solutions for a nonlinear problem on a three-dimensional domain ⋮ The topological contribution of the critical points at infinity for critical fractional Yamabe-type equations ⋮ Existence result for an elliptic equation involving critical exponent in three-dimensional domains ⋮ Existence results for the prescribed scalar curvature on \(S^3\) ⋮ Multiplicity results for the prescribed webster scalar curvature on the three CR sphere under ``flatness condition ⋮ Topological arguments for an elliptic equation involving the fractional Laplacian ⋮ Multiplicity and Existence Results for a Nonlinear Elliptic Equation With Sobolev Exponent ⋮ The scalar-curvature problem on higher-dimensional spheres ⋮ Blowing up of sign-changing solutions to a subcritical problem ⋮ Bahri-Coron type theorem for the scalar curvature problem on high dimensional spheres ⋮ Unnamed Item ⋮ On a min-max procedure for the prescribed boundary mean curvature problem in \(\mathbb{B}_3\) ⋮ Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds ⋮ On the boundary mean curvature equation on \(\mathbb{B}^{n}\) ⋮ Theory of ``critical points at infinity and a resonant singular Liouville-type equation ⋮ The {\(\beta\)}-flatness condition in CR spheres ⋮ A Morse theoretical approach for the boundary mean curvature problem on \(\mathbb B^4\) ⋮ A perturbation result for a critical elliptic equation with zero Dirichlet boundary condition ⋮ On a resonant mean field type equation: a ``critical point at infinity approach ⋮ Existence results for critical semi-linear equations on Heisenberg group domains ⋮ Conformal metrics with prescribed \(Q\)-curvature on \(S^{n}\) ⋮ Existence and multiplicity results for the scalar curvature problem on the half-sphere \(\mathbb S^3_+\) ⋮ Existence and multiplicity results for a fourth order mean field equation ⋮ Topological methods for the prescribed Webster scalar curvature problem on CR manifolds ⋮ The prescribed boundary mean curvature problem on \(\mathbb B^4\) ⋮ On a fourth order elliptic equation with critical nonlinearity in dimension six ⋮ The scalar curvature problem on the four dimensional half sphere ⋮ Some existence results for a paneitz type problem via the theory of critical points at infinity ⋮ The Webster scalar curvature problem on higher dimensional CR compact manifolds ⋮ A subcritical approximation of the Paneitz problem on spheres ⋮ The scalar curvature problem on four-dimensional manifolds ⋮ On a critical nonlinear problem involving the fractional Laplacian ⋮ Some nonlinear elliptic equations from geometry ⋮ The Nirenberg problem on high dimensional half spheres: the effect of pinching conditions ⋮ PERTURBATION THEOREMS FOR FRACTIONAL CRITICAL EQUATIONS ON BOUNDED DOMAINS ⋮ Conformal metrics with prescribed fractional \(Q\)-curvatures on the standard \(n\)-dimensional sphere ⋮ On the prescribed scalar curvature problem on 4-manifolds ⋮ Supported Blow-up and prescribed scalar curvature on 𝑆ⁿ ⋮ Unnamed Item ⋮ On an elliptic boundary value problem with critical exponent ⋮ On the Prescribed Scalar and Zero Mean Curvature on 3-Dimensional Manifolds With Umbilic Boundary ⋮ A Morse lemma at infinity for nonlinear elliptic fractional equations ⋮ The effect of pinching conditions in prescribing \(Q\)-curvature on standard spheres ⋮ Non simple blow ups for the Nirenberg problem on half spheres
Cites Work
- Path-connected Yang-Mills moduli spaces
- The concentration-compactness principle in the calculus of variations. The limit case. I
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Periodic solutions of Hamiltonian systems of 3-body type
- On the existence of a positive solution of semilinear elliptic equations in unbounded domains
- Topological Remarks–Critical Points at Infinity and String Theory
- On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
- Cuplength estimates on lagrangian intersections
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
