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