Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
Analysis of PDEs
2016-06-29 v2
Abstract
We study existence of principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term via the Krein-Rutman theorem which based on regularity up to boundary of viscosity solutions. We also show the simplicity of the eigenfunctions in viscosity sense by a nonlocal version of ABP estimate.
Cite
@article{arxiv.1605.09787,
title = {Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term},
author = {Alexander Quaas and Ariel Salort and Aliang Xia},
journal= {arXiv preprint arXiv:1605.09787},
year = {2016}
}