THE STICKINESS PROPERTY FOR ANTISYMMETRIC NONLOCAL MINIMAL GRAPHS

Benjamin Baronowitz, Serena Dipierro, Enrico Valdinoci

Research output: Contribution to journalArticlepeer-review

2 Citations (Web of Science)

Abstract

We show that arbitrarily small antisymmetric perturbations of the zero function are sufficient to produce the stickiness phenomenon for planar nonlocal minimal graphs (with the same quantitative bounds obtained for the case of even symmetric perturbations, up to multiplicative constants). In proving this result, one also establishes an odd symmetric version of the maximum principle for nonlocal minimal graphs, according to which the odd symmetric minimizer is positive in the direction of the positive bump and negative in the direction of the negative bump.
Original languageEnglish
Pages (from-to)1006-1025
Number of pages20
JournalDiscrete and Continuous Dynamical Systems
Volume43
Issue number3-4
Early online dateAug 2022
DOIs
Publication statusPublished - Mar 2023

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