Abstract
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”.
Funder
Fondo Nacional de Desarrollo Científico y Tecnológico
CMM. U. de Chile and Millennium Nucleus Center for Analysis of PDE
Foundation of Jiangxi Provincial Education Department
NNSF of China
NSF of Jiangxi Province of China
Consejo Nacional de Investigaciones Científicas y Técnicas
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
Cited by
7 articles.
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