Recently the symmetry of solutions to overdetermined problems has been established for the class of Hessian operators, including the Monge-Ampère operator. In this paper we prove that the radial symmetry of the domain and of the solution to an overdetermined Dirichlet problem for the Monge-Ampère equation is stable under suitable perturbations of the data. © 2008 Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag.
|Number of pages||9|
|Journal||Annali di Matematica Pura ed Applicata|
|Publication status||Published - 2009|
All Science Journal Classification (ASJC) codes
- Applied Mathematics