Riv. Mat. Univ. Parma, Vol. 1, No. 2, 2010

Domenico Mucci

A variational problem involving the distributional determinant

Pages: 321-345
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.

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