Optimal $L^p$ Hardy inequalities

Baptiste Devyver, Yehuda Pinchover

Let $\mathcal{Q}(φ):=\int_Ω\big(|\nabla φ|^p+V|φ|^p\big)\dnu$ on $\core$, and assume that $\mathcal{Q}\ge 0$. The aim of the paper is to obtain ''as large as possible" nonnegative…