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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.08657 |
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| _version_ | 1866912189694083072 |
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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 |