Accepted Paper
Inserted: 10 may 2022
Last Updated: 24 apr 2023
Journal: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
Year: 2021
Abstract:
We give a short self-contained proof of the Boundary Harnack Inequality for a class of domains satisfying some geometric conditions given in terms of a state function that behaves as the distance function to the boundary, is subharmonic inside the domain and satisfies some suitable estimates on the measure of its level sets. We also discuss the applications of this result to some shape optimization and free boundary problems.
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