On Viscosity and Equivalent Notions of Solutions for Anisotropic Geometric Equations

We prove that viscosity solutions of geometric equations in step two Carnot groups can be equivalently reformulated by restricting the set of test functions at the singular points. These are characteristic points for the level sets of the solutions and are usually difficult to deal with. A similar p...

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Bibliographic Details
Main Authors: Cecilia De Zan, Pierpaolo Soravia
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2020/7545983