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Prescribing scalar and boundary mean curvature on the three dimensional half sphere |
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| Authors: | |
| Institution: | (1) Département de Mathématique, Site de Saint-Martin, Université de Cergy-Pontoise, 2 Avenue Adolphe Chauvin, F 95302 Cergy-Pontoise Cedex, France;(2) School of Mathematics Institute for Advanced Study 1, Einstein Drive, 08540 Princeton, New Jersey;(3) Mathematisches Institut, Rheinische Friedrich-Wilhelms-Universitat Bonn, Beringstrasse 4, D-53115 Bonn, Germany |
| Abstract: | We consider the problem of prescribing the scalar curvature and the boundary mean curvature of the standard half-three sphere, by deforming conformally its standard metric. Using blow-up analysis techniques and minimax arguments, we prove some existence and compactness results. |
| Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications 53C21 35B45 35J60 53A30 |
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