Vina Apriliani

collaborators

2 papers

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.AP2024

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…

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