Global bifurcation for Paneitz type equations and constant Q-curvature metrics
From MaRDI portal
Publication:6616060
DOI10.1016/J.JDE.2024.07.026MaRDI QIDQ6616060
Jimmy Petean, Jurgen Julio-Batalla
Publication date: 8 October 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Higher-order elliptic equations (35J30) Bifurcation theory for PDEs on manifolds (58J55)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A strong maximum principle for the Paneitz operator and a non-local flow for the \(\mathcal Q\)-curvature
- Isoparametrische Hyperflächen in Sphären. I
- Oscillatory radial solutions for subcritical biharmonic equations
- Isoparametric functions on Riemannian manifolds. I
- Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
- Cliffordalgebren und neue isoparametrische Hyperflächen
- On some types of isoparametric hypersurfaces in spheres. I
- Classification of solutions of higher order conformally invariant equations
- A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
- Mountain pass critical points for Paneitz-Branson operators.
- Global existence and convergence for a higher order flow in conformal geometry
- Paneitz-type operators and applications
- Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent
- Compactness of conformal metrics with constant \(Q\)-curvature. I
- Extremal metrics of zeta function determinants on 4-manifolds
- Non-compactness of the prescribed \(Q\)-curvature problem in large dimensions
- Isoparametric hypersurfaces and metrics of constant scalar curvature
- Geometry of isoparametric hypersurfaces in Riemannian manifolds
- Isoparametric hypersurfaces with four principal curvatures. IV
- Global bifurcation techniques for Yamabe type equations on Riemannian manifolds
- A compactness theorem on Branson's \(Q\)-curvature equation
- Existence of conformal metrics with constant \(Q\)-curvature
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Familles de surfaces isoparamétriques dans les espaces à courbure constante.
- Famiglie di superficie isoparametriche nell'ordinario spazio euclideo.
- Riemannian manifolds with positive Yamabe invariant and Paneitz operator
- Isoparametric functions and exotic spheres
- Q-Curvature on a Class of Manifolds with Dimension at Least 5
- Nonuniqueness of Conformal Metrics With Constant Q-curvature
- On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds
- Sign of Green's Function of Paneitz Operators and theQCurvature
- Differential operators cononically associated to a conformal structure.
- Compactness and global estimates for the geometric Paneitz equation in high dimensions
- Positive solutions for a fourth order equation invariant under isometries
- Compactness of solutions to some geometric fourth-order equations
- Multiplicity results for constant \(Q\)-curvature conformal metrics
- Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds
Related Items (1)
This page was built for publication: Global bifurcation for Paneitz type equations and constant Q-curvature metrics
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6616060)