We consider the polar factorization of vector valued mappings, introduced in , in the case of a family of mappings depending on a parameter. We investigate the regularity with respect to this parameter of the terms of the polar factorization by constructing some a priori bounds. To do so, we consider the linearization of the associated Monge-Ampère equation.
|Number of pages||32|
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - Mar 2005|