Differential and Integral Equations

Prescribed scalar curvature with minimal boundary mean curvature on $S^4_+$

Abstract

This paper is devoted to the prescribed scalar curvature under minimal boundary mean curvature on the standard four-dimensional half sphere. Using topological methods from the theory of critical points at infinity, we prove some existence results.

Article information

Source
Differential Integral Equations, Volume 18, Number 7 (2005), 765-780.

Dates
First available in Project Euclid: 21 December 2012

Chtioui, Hichem; El Mehdi, Khalil. Prescribed scalar curvature with minimal boundary mean curvature on $S^4_+$. Differential Integral Equations 18 (2005), no. 7, 765--780. https://projecteuclid.org/euclid.die/1356060165