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arXiv · 1705.10011

Prescribed mean curvature equation on the unit ball in the presence of reflection or rotation symmetry

Pak Tung Ho
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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.

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Pak Tung Ho. 2019-06-06. Prescribed mean curvature equation on the unit ball in the presence of reflection or rotation symmetry. https://doi.org/10.1017/prm.2018.40

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