Shuhei Kitano

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

2 citations · 3 across the 3 of their papers we have counts for

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3 papers

math.AP2022★ 1 cited

$W^{σ, p}$ A Priori Estimates for Fully Nonlinear Integro-Differential Equations

Shuhei Kitano

$W^{σ, p}$ estimates are studied for a class of fully nonlinear integro-differential equations of order $σ$ , which are analogues of $W^{2, p}$ estimates by Caffarelli. We also presen…

math.AP2022★ 2 cited

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

Shuhei Kitano

Aleksandrov-Bakelman-Pucci maximum principles are studied for a class of fully nonlinear integro-differential equations of order $σ \in [2 - ε_{0}, 2)$ , where $ε_{0}$ i…

math.AP2022

Harnck inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions

Shuhei Kitano

Hölder estimates and Harnack inequalities are studied for fully nonlinear integro-differential equations under some mild assumptions. We allow the kernels of variable order and cri…

Wσ,p A Priori Estimates for Fully Nonlinear Integro-Differential Equations

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

Harnck inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions

$W^{σ, p}$ A Priori Estimates for Fully Nonlinear Integro-Differential Equations