Journal article
Minimum Value for $c$ in the Sobolev Inequality $\| {\phi ^3 } \|\leqq c\| {abla \phi } \|^3
SIAM journal on applied mathematics, v 21(1), pp 30-32
01 Jul 1971
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.
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Details
- Title
- Minimum Value for $c$ in the Sobolev Inequality $\| {\phi ^3 } \|\leqq c\| {abla \phi } \|^3
- Creators
- Gerald Rosen
- Publication Details
- SIAM journal on applied mathematics, v 21(1), pp 30-32
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:A1971K238800004
- Other Identifier
- 991020705458204721