Projects per year
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.
|Number of pages||20|
|Journal||Discrete and Continuous Dynamical Systems|
|Publication status||Published - Mar 2023|
FingerprintDive into the research topics of 'THE STICKINESS PROPERTY FOR ANTISYMMETRIC NONLOCAL MINIMAL GRAPHS'. Together they form a unique fingerprint.
Minimal surfaces, free boundaries and partial differential equations
1/01/19 → 30/06/25
Partial Differential Equations, free boundaries and applications
30/11/18 → 30/11/22