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

Fuente: arXiv
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Autori principali: Galise, Giulio, Ishii, Hitoshi
Natura: Preprint
Pubblicazione: 2025
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author Galise, Giulio
Ishii, Hitoshi
author_facet Galise, Giulio
Ishii, Hitoshi
contents Existence issues of viscosity supersolutions in the half-space $\mathbb R^N_+$, 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_08657
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Liouville type results for the fractional truncated Laplacians in a half-space
Galise, Giulio
Ishii, Hitoshi
Analysis of PDEs
Existence issues of viscosity supersolutions in the half-space $\mathbb R^N_+$, 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.
title Liouville type results for the fractional truncated Laplacians in a half-space
topic Analysis of PDEs
url https://arxiv.org/abs/2501.08657