Sharp numerical inclusion of the best constant for embedding $H_0^1(\Omega )\hookrightarrow L^p(\Omega )$ on bounded convex domain

Kazuaki Tanaka, Kouta Sekine, Makoto Mizuguchi +1

In this paper, we propose a verified numerical method for obtaining a sharp inclusion of the best constant for the embedding $H_0^1(\Omega )\hookrightarrow L^p(\Omega )$ on bounded conv…