English

Prescribing the scalar curvature under minimal boundary conditions on the half sphere

Analysis of PDEs 2007-05-23 v1 Differential Geometry

Abstract

This paper is devoted to the problem of prescribing the scalar curvature under zero boundary conditions. Using dynamical and topological methods involving the study of critical points at infinity of the associated variational problem, we prove some existence results on the standard half sphere.

Keywords

Cite

@article{arxiv.math/0205006,
  title  = {Prescribing the scalar curvature under minimal boundary conditions on the half sphere},
  author = {Mohamed Ben Ayed and Khalil El Mehdi and Mohameden Ould Ahmedou},
  journal= {arXiv preprint arXiv:math/0205006},
  year   = {2007}
}

Comments

25 pages