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

Mathematics – Analysis of PDEs

Scientific paper

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15 pages

Scientific paper

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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