We establish a pointwise comparison result for a nonlinear degenerate elliptic Dirichlet problem using an isoperimetric inequality involving the total mean curvature. In particular this result provides a sharp estimate for the extinction time of a class of compact surfaces, wider than the convex one, moving by mean curvature flow. Finally we present numerical experiments to compare our estimate with those known in literature.
|Number of pages||7|
|Journal||Applied Mathematics Letters|
|Publication status||Published - 2007|
All Science Journal Classification (ASJC) codes
- Applied Mathematics