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Prescribing nearly constant curvatures on balls

Prescribing nearly constant curvatures on balls

In this paper, we address two boundary cases of the classical Kazdan–Warner problem. More precisely, we consider the problem of prescribing the Gaussian and boundary geodesic curvature on a disk of $\mathbb {R}^2$ , and the scalar and mean curvature on a ball in higher dimensions, via a conformal change …