
The author studies two generalizations of the Yamabe problem for manifolds with boundary considering both the scalar curvature and mean curvature. The approach relies on the analysis of the Yamabe flow under appropriate boundary conditions stated in terms of curvature.
curvature, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), manifold with boundary, Yamabe flow, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Yamabe problem
curvature, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), manifold with boundary, Yamabe flow, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Yamabe problem
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 37 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
