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Prescribed Scalar Curvature with Minimal Boundary Mean Curvature on $S^4_+$

Hichem Chtioui·Khalil El Mehdi
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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. These methods were first introduced by A. Bahri.

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Hichem Chtioui, Khalil El Mehdi. 2003-10-12. Prescribed Scalar Curvature with Minimal Boundary Mean Curvature on $S^4_+$. https://arxiv.org/abs/math/0306131

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