We characterize the denseness of the singular set of the distance function from a (Formula presented.) -hypersurface in terms of an inner ball condition and we address the problem of the existence of viscosity solutions of the Eikonal equation whose singular set (i.e. set of non-differentiability points) is not no-where dense.

Distance functions with dense singular sets

Santilli M.
2021

Abstract

We characterize the denseness of the singular set of the distance function from a (Formula presented.) -hypersurface in terms of an inner ball condition and we address the problem of the existence of viscosity solutions of the Eikonal equation whose singular set (i.e. set of non-differentiability points) is not no-where dense.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/176963
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