## Differential and Integral Equations

### Topological arguments in prescribing the scalar curvature under minimal boundary mean curvature condition on $S^n_+$

Ridha Yacoub

#### Abstract

This paper is devoted to the prescribed scalar curvature problem under minimal boundary mean curvature condition on the standard $n$-dimensional half Sphere, with $n\geq 3.$ Using tools related to the theory of critical points at infinity, we provide some topological conditions, on the level sets of a given positive function on $S_+^n$, under which we prove some existence results.

#### Article information

Source
Differential Integral Equations, Volume 21, Number 5-6 (2008), 459-476.

Dates
First available in Project Euclid: 20 December 2012

Yacoub, Ridha. Topological arguments in prescribing the scalar curvature under minimal boundary mean curvature condition on $S^n_+$. Differential Integral Equations 21 (2008), no. 5-6, 459--476. https://projecteuclid.org/euclid.die/1356038628