A dual Yamabe flow and related integral flows
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Publication:6564181
DOI10.1007/s11401-024-0019-3zbMath1540.5313MaRDI QIDQ6564181
Publication date: 28 June 2024
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Diffusion processes and stochastic analysis on manifolds (58J65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local Riemannian geometry (53B20) Flows related to symplectic and contact structures (53E50)
Cites Work
- Unnamed Item
- Unnamed Item
- Prescribing integral curvature equation.
- A fractional Yamabe flow and some applications
- On a class of non-local operators in conformal geometry
- Fractional Laplacian in conformal geometry
- A strong maximum principle for the Paneitz operator and a non-local flow for the \(\mathcal Q\)-curvature
- The scalar-curvature problem on the standard three-dimensional sphere
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Convergence of the Yamabe flow for arbitrary initial energy
- Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds and applications
- A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
- Conformal deformation of a Riemannian metric to constant scalar curvature
- On the regularity of the minima of variational integrals
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- Global existence and convergence of Yamabe flow
- Scattering matrix in conformal geometry
- On the Łojasiewicz--Simon gradient inequality.
- Compactness of conformal metrics with constant \(Q\)-curvature. I
- Remark on some conformally invariant integral equations: the method of moving spheres
- Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities
- The Nirenberg problem and its generalizations: a unified approach
- Convergence of the Yamabe flow in dimension 6 and higher
- On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe
- Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities
- The Ambient Metric (AM-178)
- Q-Curvature on a Class of Manifolds with Dimension at Least 5
- Conformally Invariant Powers of the Laplacian, I: Existence
- On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds
- Reversed Hardy–Littewood–Sobolev Inequality
- Differential operators cononically associated to a conformal structure.
- The yamabe flow on locally conformally flat manifolds with positive ricci curvature
- Convergence of the Yamabe flow for large energies
- Weak and smooth solutions for a fractional Yamabe flow: The case of general compact and locally conformally flat manifolds
- Compactness and global estimates for the geometric Paneitz equation in high dimensions
- Convergence of the fractional Yamabe flow for a class of initial data
- On Conformal Metrics with Constant $Q$-Curvature
- Classification of solutions for an integral equation
- Stability of the separable solutions for a nonlinear boundary diffusion problem
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