Constant T-curvature conformal metrics on 4-manifolds with boundary
dc.contributor.area | Mathematics | en_US |
dc.contributor.author | Ndiaye, Cheikh Birahim | en_US |
dc.contributor.department | Functional Analysis and Applications | en_US |
dc.date.accessioned | 2007-08-07T12:10:17Z | en_US |
dc.date.accessioned | 2011-09-07T20:26:27Z | |
dc.date.available | 2007-08-07T12:10:17Z | en_US |
dc.date.available | 2011-09-07T20:26:27Z | |
dc.date.issued | 2007-08-07T12:10:17Z | en_US |
dc.description.abstract | In this paper we prove that, given a compact four dimensional smooth Riemannian manifold (M,g) with smooth boundary there exists a metric conformal to g with constant T-curvature, zero Q-curvature and zero mean curvature under generic and conformally invariant assumptions. The problem amounts to solving a fourth order nonlinear elliptic boundary value problem (BVP) with boundary conditions given by a third-order pseudodifferential operator, and homogeneous Neumann one. It has a variational structure, but since the corresponding Euler-Lagrange functional is in general unbounded from below, we look for saddle points. In order to do this, we use topological arguments and min-max methods combined with a compactness result for the corresponding BVP. | en_US |
dc.format.extent | 313129 bytes | en_US |
dc.format.mimetype | application/pdf | en_US |
dc.identifier.uri | https://openscience.sissa.it/handle/1963/1985 | en_US |
dc.language.iso | en_US | en_US |
dc.relation.ispartofseries | SISSA;54/2007/M | en_US |
dc.relation.ispartofseries | arXiv.org;0708.0732 | en_US |
dc.title | Constant T-curvature conformal metrics on 4-manifolds with boundary | en_US |
dc.type | Preprint | en_US |