Uniqueness of the boundary behavior for large solutions to a degenerate elliptic equation involving the ∞–Laplacian
In this note we estimate the maximal growth rate at the boundary of viscosity solutions to −∆∞u + λ|u| m−1 u = f in Ω (λ > 0, m > 3).In fact, we prove that there is a unique explosive rate on the boundary for large solutions. A version of Liouville Theorem is also obtained when Ω = R N...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/59609 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/59609 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.9 ∞–Laplacian operator large solutions Liouville property viscosity solutions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Sumario: | In this note we estimate the maximal growth rate at the boundary of viscosity solutions to −∆∞u + λ|u| m−1 u = f in Ω (λ > 0, m > 3).In fact, we prove that there is a unique explosive rate on the boundary for large solutions. A version of Liouville Theorem is also obtained when Ω = R N |
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