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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2406.19250 |
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| _version_ | 1866910538777231360 |
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| author | Temgoua, Remi Yvant |
| author_facet | Temgoua, Remi Yvant |
| contents | In this paper, we study the existence of positive non-decreasing radial solutions of a nonlocal non-standard growth problem ruled by the fractional $g$-Laplace operator with exterior Neumann condition. Our argument exploits some properties of fractional Orlicz-Sobolev spaces combined with a variational principle for nonsmooth functionals, which allows to deal with problems lacking compactness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19250 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A supercritical nonlocal Neumann problem involving non-homogeneous fractional Laplacian Temgoua, Remi Yvant Analysis of PDEs In this paper, we study the existence of positive non-decreasing radial solutions of a nonlocal non-standard growth problem ruled by the fractional $g$-Laplace operator with exterior Neumann condition. Our argument exploits some properties of fractional Orlicz-Sobolev spaces combined with a variational principle for nonsmooth functionals, which allows to deal with problems lacking compactness. |
| title | A supercritical nonlocal Neumann problem involving non-homogeneous fractional Laplacian |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.19250 |