On $L^p$-Hardy inequalities for magnetic $p$-Laplacians

Abstract

In this paper we revisit the remainder terms of $L^p$-Hardy inequalities for magnetic $p$-Laplacians. In particular, we will give an integral representation of the sharp constant for a crucial algebraic inequality established by C. Cazacu, D. Krej\v{c}i\v{r}\'ik, N. Lam, and A. Laptev.