ABP maximum principles for fully nonlinear integro-differential equations with unbounded inhomogeneous terms

Shuhei Kitano ()
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Shuhei Kitano: Waseda University

Partial Differential Equations and Applications, 2020, vol. 1, issue 4, 1-11

Abstract: Abstract Aleksandrov–Bakelman–Pucci maximum principles are studied for a class of fully nonlinear integro-differential equations of order $$\sigma \in [2-\varepsilon _0,2)$$ σ ∈ [ 2 - ε 0 , 2 ) , where $$\varepsilon _0$$ ε 0 is a small constant depending only on given parameters. The goal of this paper is to improve an estimate of Guillen and Schwab (Arch Ration Mech Anal 206(1):111–157, 2012) in order to avoid the dependence on $$L^\infty$$ L ∞ norm of the inhomogeneous term.

Keywords: 35R09; 47G20 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s42985-020-00018-y

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