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Conformal Flat Metrics with Prescribed Mean Curvature on the Boundary
Journal article   Peer reviewed

Conformal Flat Metrics with Prescribed Mean Curvature on the Boundary

Khadijah Abdullah Sharaf, Aymen Bensouf, Hichem Chtioui and Abdellahi Soumare
Boletim da Sociedade Brasileira de Matemática, Vol.53(2), pp.379-411
01/06/2022
DOI: https://doi.org/10.1007/s00574-021-00262-9

Abstract

Mathematics Physical Sciences Science & Technology
We consider the problem of finding conformal metrics on the unit ball B-n of R-n, n >= 3, with zero scalar curvature and prescribed mean curvature on the boundary. We study the lack of compactness of the problem and we prove an existence result based on an index-counting formula.

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