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François Générau1
Published 5 June 2020 •
© 2020 IOP Publishing Ltd & London Mathematical Society
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Citation François Générau 2020 Nonlinearity 33 3928
DOI 10.1088/1361-6544/ab7d23
96 Total downloads
In this note, we prove that, on a Riemannian manifold M, the Laplacian of the distance function to a point b is −∞ in the sense of barriers, at every point of the cut locus of M with respect to b. We apply this result to an obstacle-type variational problem where the obstacle is the distance function. It allows us to replace the latter with a smoother obstacle.
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Recommended by Dr Susanna Terracini.
