Wirtinger-Sobolev Isoperimetric Constants

Constants $\gamma$ such that

$$\left[{\,\int_\Omega \vert f\vert^q\,dx}\right]^{1/q} \leq\g... ...\partial f\over\partial x_i}\right\vert^p \,dx}\right]^{1/p},$$

where $f$ is a real-valued smooth function on a region $\Omega$ satisfying some Boundary Conditions.

References

Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/ws/ws.html