Propagation of minima for nonlocal operators
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913580542066688 |
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| author | Birindelli, Isabeau Galise, Giulio Ishii, Hitoshi |
| author_facet | Birindelli, Isabeau Galise, Giulio Ishii, Hitoshi |
| contents | 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 $k$-\emph{th fractional truncated Laplacian} or the $k$-\emph{th fractional eigenvalue} which are fully nonlinear integral operators whose nonlocality is somehow $k$-dimensional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_08164 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Propagation of minima for nonlocal operators Birindelli, Isabeau Galise, Giulio Ishii, Hitoshi Analysis of PDEs 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 $k$-\emph{th fractional truncated Laplacian} or the $k$-\emph{th fractional eigenvalue} which are fully nonlinear integral operators whose nonlocality is somehow $k$-dimensional. |
| title | Propagation of minima for nonlocal operators |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2208.08164 |