On the negative case of the singular Yamabe problem
From MaRDI portal
Publication:5904077
DOI10.1007/BF02923089zbMath1006.53030arXivdg-ga/9601006MaRDI QIDQ5904077
Publication date: 2 September 1998
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/dg-ga/9601006
scalar curvaturetangent conesconformal deformationsingular solutions of semilinear elliptic equations
Nonlinear elliptic equations (35J60) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Noncompact manifolds with constant negative scalar curvature and singular solutions to semilinear elliptic equations
- A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis
- An extension of E. Hopf's maximum principle with an application to Riemannian geometry
- Singularités éliminables pour des équations semi-linéaires
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds
- Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds
- Conformally flat manifolds, Kleinian groups and scalar curvature
- On the structure of manifolds with positive scalar curvature
- The Yamabe problem on subdomains of even-dimensional spheres
- Constant scalar curvature metrics with isolated singularities
- Tangents to an analytic variety
- The Yamabe problem
- The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
- A study of the singularities of solutions of a class of nonlinear elliptic partial differential equation
- The exponential map at an isolated singular point
- Differential equations on riemannian manifolds and their geometric applications
- On the elliptic equation Δ𝑢+𝑘𝑢-𝐾𝑢^{𝑝}=0 on complete Riemannian manifolds and their geometric applications
- Moduli Spaces of Singular Yamabe Metrics
- Singular Points of Complex Hypersurfaces. (AM-61)
- Ensembles et morphismes stratifiés