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

Ayed, Mohamed Ben; Mehdi, Khalil El; Ahmedou, Mohameden Ould

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

Authors

Ayed, Mohamed Ben

Mehdi, Khalil El

Ahmedou, Mohameden Ould

Description

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.
25 pages