A variational problem involving the distributional determinant
Received: 23 December 2009
Accepted: 14 January 2010
Mathematics Subject Classification (2000): 49Q15, 28A75, 49J52.
Keywords: Distributional determinant.
Abstract: We deal with bounded W^1,n-1-maps defined in n-dimensional domains, whose graph has finite area and finite boundary mass. We show that the singular part of the distributional determinant is concentrated on a countable set of points. A related variational problem is then considered. Finally, we study the analogous problem involving the distributional minors of fixed order.