Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
We study existence of principal eigenvalues of a fully nonlinear integro-differential elliptic equations with a drift term via the Krein-Rutman theorem and regularity estimates up to boundary of viscosity solutions. We also show simplicity of eigenfunctions in the viscosity sense by using a nonlocal...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/143668 |
| Acesso em linha: | http://hdl.handle.net/11336/143668 |
| Access Level: | acceso abierto |
| Palavra-chave: | INTEGRO-DIFFERENTIAL EQUATION KREIN-RUTMAN THEOREM PRINCIPAL EIGENVALUE REGULARITY https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | We study existence of principal eigenvalues of a fully nonlinear integro-differential elliptic equations with a drift term via the Krein-Rutman theorem and regularity estimates up to boundary of viscosity solutions. We also show simplicity of eigenfunctions in the viscosity sense by using a nonlocal version of the ABP estimate and a "sweeping lemma". |
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