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

2 citations · 3 across the 4 of their papers we have counts for

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4 papers

math.AP2026

Ellipsoidal Positivity Sets for Fractional Obstacle Problems with Quadratic Forcing

Shuhei Kitano

Let \(n\ge1\), \(0<s<1\), \(c>0\), and let \(A\) be a positive definite symmetric matrix. We prove that the unique decaying viscosity solution of \[ \min\{u,\,(-Δ)^s u-(c-\langle A…

math.AP2022★ 1 cited

A Priori Estimates for Fully Nonlinear Integro-Differential Equations

Shuhei Kitano

estimates are studied for a class of fully nonlinear integro-differential equations of order , which are analogues of 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 , where 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…