In this note we prove that, if Ω is a smooth, strictly convex, open set in R n (n ≥ 2) with given measure, the L 1 norm of the convex solution to the Dirichlet problem detD 2u = 1 in , u = 0 on δΩ, is minimum whenever is an ellipsoid.
|Number of pages||7|
|Journal||DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S|
|Publication status||Published - 2011|
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics