Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843429 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 19 Pages |
Abstract
In this paper, we consider a boundary value problem associated with the conformal deformation of metrics on the unit ball Bn,n≥3Bn,n≥3. Using dynamical and topological methods involving the study of critical points at infinity of the associated variational problem, we prove the existence of a metric, conformally equivalent to the Euclidean metric, with zero scalar curvature and prescribed mean curvature on the boundary.
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Authors
Wael Abdelhedi, Hichem Chtioui,