Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
classification
🧮 math.AP
keywords
drifteigenvaluesellipticequationsfullyintegro-differentialnonlinearprincipal
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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.
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