Shuhei Kitano

collaborators

3 papers

math.AP2026

Fully Nonlinear Logistic Equations with Sanctuary Regions and Nonlocal Diffusion

Giulio Galise, Shuhei Kitano

We study positive solutions of $I u + μu = k (x) u^{p}$ in a bounded domain, where $p > 1$ , the nonnegative coefficient $k$ may vanish on a sanctuary region, and $I$ is a fully nonlinear nonl…

math.AP2026

On the Aleksandrov--Bakelman--Pucci estimates for the weighted $1$ -Laplacian

Shuhei Kitano

We establish Aleksandrov--Bakelman--Pucci-type estimates for viscosity subsolutions of Poisson equations associated with the weighted $1$ -Laplacian and, more generally, with fully…

math.AP2023

Second order $L_{p}$ estimates for subsolutions of fully nonlinear equations

Hongjie Dong, Shuhei Kitano

We obtain new $L_{p}$ estimates for subsolutions to fully nonlinear equations. Based on our $L_{p}$ estimates, we further study several topics such as the third and fourth order deriva…

Fully Nonlinear Logistic Equations with Sanctuary Regions and Nonlocal Diffusion

On the Aleksandrov--Bakelman--Pucci estimates for the weighted 1-Laplacian

Second order Lp​ estimates for subsolutions of fully nonlinear equations

On the Aleksandrov--Bakelman--Pucci estimates for the weighted $1$ -Laplacian

Second order $L_{p}$ estimates for subsolutions of fully nonlinear equations