Hiroshi Ohtsuka

activity

20232026

collaborators

4 papers

math.AP2026

Existence and regularity of minimizers for a variational problem of species population density

Pu-Zhao Kow, Masato Kimura, Hiroshi Ohtsuka

We study a variational problem motivated by models of species population density in a nonhomogeneous environment. We first analyze local minimizers and the structure of the saturat…

math.FA2025

Characterization of Higher-Order Sobolev Spaces on the Sphere via Generalized Averaging of Function

Ikhsan Maulidi, Hiroshi Ohtsuka

We present a new characterization of higher-order Sobolev spaces on the sphere. Building on the approach of Barceló et al. (2020), we refine the square function they introduced for…

math.AP2024

Two-step minimization approach to an $L^{\infty}$ -constrained variational problem with a generalized potential

Vina Apriliani, Masato Kimura, Hiroshi Ohtsuka

We study a variational problem on $H^{1} (R)$ under an $L^{\infty}$ -constraint related to Sobolev-type inequalities for a class of generalized potentials, including $L^{p}$ -pote…

math.AP2023

Two-step minimization approach to Sobolev-type inequality with bounded potential in 1D