  On a compact manifold with boundary, the map consisting of the scalar
curvature in the interior and the mean curvature on the boundary is a local
surjection at generic metrics. We prove that this result may be localized to
compact subdomains in an arbitrary Riemannian manifold with boundary. This
result is a generalization of Corvino's result about localized scalar curvature
deformations; however, the existence part needs to be handled delicately since
the problem is non-variational. We also briefly discuss generic conditions that
guarantee localized deformations, and some related geometric properties.
