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Principal Eigenvalues of Fully Nonlinear Integro-differential Elliptic Equations with a Drift Term by Quaas, Alexander; Salort, Ariel; Xia, Aliang is a scholarly article available to read on EtoBox.

What is Principal Eigenvalues of Fully Nonlinear Integro-differential Elliptic Equations with a Drift Term about?

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.

Author

Quaas, Alexander; Salort, Ariel; Xia, Aliang

Published

2016

Language

EN