Published online by Cambridge University Press: 27 December 2018
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.
Current address: Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton NJ 08544 USA Email address: [email protected]