Prescribing Gaussian and Geodesic Curvature on Disks

In this paper, we consider the problem of prescribing the Gaussian and geodesic curvature on a disk and its boundary, respectively, via a conformal change of the metric. This leads us to a Liouville-type equation with a non-linear Neumann boundary condition. We address the question of existence by s...

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Bibliographic Details
Main Authors: Cruz-Blázquez Sergio, Ruiz David
Format: Article
Language:English
Published: De Gruyter 2018-08-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2018-2021