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arXiv · 2501.08657

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

Giulio Galise·Hitoshi Ishii
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Abstract

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.

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Giulio Galise, Hitoshi Ishii. 2025-01-15. Liouville type results for the fractional truncated Laplacians in a half-space. https://arxiv.org/abs/2501.08657

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