Existence issues of viscosity supersolutions in the half-space R + N , for a class of fully nonlinear integral equations involving the fractional truncated Laplacians and a power-like nonlinearity in the unknown function, are addressed in this paper, the aim being to obtain estimates on the threshold exponents separating the existence from the nonexistence regimes.

Liouville type results for the fractional truncated Laplacians in a half-space / Galise, Giulio; Ishii, Hitoshi. - In: NONLINEARITY. - ISSN 0951-7715. - 38:6(2025). [10.1088/1361-6544/add835]

Liouville type results for the fractional truncated Laplacians in a half-space

Galise, Giulio
;
2025

Abstract

Existence issues of viscosity supersolutions in the half-space R + N , for a class of fully nonlinear integral equations involving the fractional truncated Laplacians and a power-like nonlinearity in the unknown function, are addressed in this paper, the aim being to obtain estimates on the threshold exponents separating the existence from the nonexistence regimes.
2025
26D10; 35D40; 45M20; 47G10; fully nonlinear integral operators; Liouville type theorems; viscosity solutions
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Liouville type results for the fractional truncated Laplacians in a half-space / Galise, Giulio; Ishii, Hitoshi. - In: NONLINEARITY. - ISSN 0951-7715. - 38:6(2025). [10.1088/1361-6544/add835]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1742809
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