Prescribing scalar and boundary mean curvature on the three dimensional sphere
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We consider the problem of prescribing the scalar curvature and the boundary mean curvature of the standard half three sphere, by deforming conformally its standard metric. Using blow up analysis techniques and minimax arguments, we prove some existence and compactness results.
Keywords
Cite
@article{arxiv.math/0211227,
title = {Prescribing scalar and boundary mean curvature on the three dimensional sphere},
author = {Zindine Djadli and Andrea Malchiodi and Mohameden Ould Ahmedou},
journal= {arXiv preprint arXiv:math/0211227},
year = {2007}
}