Hiroshi Ohtsuka

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20232026

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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.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

Vina Apriliani, Masato Kimura, Hiroshi Ohtsuka

We present a new method to determine the best constant of the Sobolev-type embedding in one dimension with a norm including a bounded inhomogeneous potential term. This problem is…

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

Two-step minimization approach to an L∞-constrained variational problem with a generalized potential

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

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