Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term

2016/05/31 by Alexander Quaas, Ariel Salort, Quaas, Alexander +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP

paper · pdf · doi:10.48550/arxiv.1605.09787

openalex publication_date 2016/05/31 · arxiv created 2016/06/28 · arxiv updated 2016/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

Citations

• A priori bounds and existence of solutions for some nonlocal elliptic problems

Cited by

• Regularity theory for degenerate fully nonlinear nonlocal equations with a Hamiltonian term

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