Results
Title

Propagation of minima for nonlocal operators.

Authors

Birindelli, Isabeau; Galise, Giulio; Ishii, Hitoshi

Abstract

In this paper we state some sharp maximum principle, i.e. we characterize the geometry of the sets of minima for supersolutions of equations involving the $k$ -th fractional truncated Laplacian or the $k$ -th fractional eigenvalue which are fully nonlinear integral operators whose nonlocality is somehow $k$ -dimensional.

Subjects

NONLINEAR operators; INTEGRAL operators; VISCOSITY solutions; EIGENVALUES; GEOMETRY; MAXIMUM principles (Mathematics)

Publication

Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2024, Vol 154, Issue 4, p1033

ISSN

0308-2105

Publication type

Academic Journal

DOI

10.1017/prm.2023.49