Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary

By Qinian Jin, Aobing Li, Yanyan Li. 2006

55 citations recorded by the source corpus.

In this paper we consider a fully nonlinear version of the Yamabe problem on compact Riemannian manifold with boundary. Under various conditions we derive local estimates for solutions and establish some existence results.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/bcb79ede4e851ea87549f5943fb821b1f331ae43

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Feida Jiang
2. Neil S. Trudinger
3. Xu-jia Wang
4. Robert J. McCann
5. Alessio Figalli
6. Grégoire Loeper
7. Giuseppe Mingione
8. Young-Heon Kim

In Computational Theory and Mathematics

1. Feida Jiang
2. Neil S. Trudinger
3. Xu-jia Wang
4. Bo Guan

In Mathematical Physics

1. Neil S. Trudinger
2. Feida Jiang
3. Simon Donaldson
4. Xu-jia Wang
5. John C. Loftin

Citations in the corpus

• Oblique boundary value problems for augmented Hessian equations I (2015, methodology): “2 various examples of operators F , matrices A, and boundary operators G along with the application to conformal geometry, where we relax the umbilic boundary restriction for second derivative estimates in Yamabe problems with boundary as studied in [3, 16].”