Minimum Value for c in the Sobolev Inequality $\| {\phi ^3 } \|\leqq c\| {\nabla \phi } \|^3$

Gerald Rosen

Source record

Source: Crossref

Published: Jul 1, 1971

DOI: 10.1137/0121004

Open original source ↗

Source abstract

It is shown that the minimum value for c is $4/3 \sqrt 3 \pi ^2 \cong .0780$ for $\phi$ of function class $C^0$ piecewise $C^2$ in real Euclidean 3-space.

Evidence graph

No public relationships recorded yet.

Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.