A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
This paper concerns the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators includes the fractional pn-Laplacian when pn→ ∞ as a particular case, toug...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::14e6d0c9dd436261130636a6222271fd |
| Acceso en línea: | https://hdl.handle.net/11441/185214 http://dx.doi.org/10.1007/s13163-021-00390-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Fractional order Sobolev spaces Orlicz-Sobolev spaces fractional g-laplace operator |
| Sumario: | This paper concerns the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators includes the fractional pn-Laplacian when pn→ ∞ as a particular case, tough it could be extended to a function of the Hölder quotient of order s, whose primitive is an Orlicz function satisfying appropriated growth conditions. The limit equation involves the Hölder infinity Laplacian. |
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