Article contents
Prescribed mean curvature equation on the unit ball in the presence of reflection or rotation symmetry
Published online by Cambridge University Press: 27 December 2018
Abstract
Using the flow method, we prove some existence results for the problem of prescribing the mean curvature on the unit ball. More precisely, we prove that there exists a conformal metric on the unit ball such that its mean curvature is f, when f possesses certain reflection or rotation symmetry.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 3 , June 2019 , pp. 781 - 794
- Copyright
- Copyright © Royal Society of Edinburgh 2018
Footnotes
Current address: Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton NJ 08544 USA Email address: ptho@princeton.edu
References
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