We consider the isoperimetric problem in the plane with density rp, p > 0, and prove that the solution is a circle through the origin. We use the stability of this isoperimetric curve to prove an apparently new generalization of Wirtinger's Inequality.
|Number of pages||21|
|Journal||New York Journal of Mathematics|
|State||Published - 2010|
- Plane with density
- Radial densities