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.

Propagation of minima for nonlocal operators / Birindelli, Isabella; Galise, Giulio; Ishii, Hitoshi. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 154:4(2024), pp. 1033-1046. [10.1017/prm.2023.49]

Propagation of minima for nonlocal operators

Birindelli, Isabella;Galise, Giulio
;
Ishii, Hitoshi
2024

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.
2024
Nonlinear and degenerate integral operators; strong maximum principle; propagation of minima; positivity sets; viscosity solutions
01 Pubblicazione su rivista::01a Articolo in rivista
Propagation of minima for nonlocal operators / Birindelli, Isabella; Galise, Giulio; Ishii, Hitoshi. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 154:4(2024), pp. 1033-1046. [10.1017/prm.2023.49]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1721415
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