Inserted: 22 nov 2001
Proc. ``Calculus of Variations, Homogeneization and Continuum Mechanics", Buttazzo, Bouchitte \& Suquet Eds., World Scientific, Singapore
Various problems in continuum mechanics or artificial intelligence can be modelled by integral functionals depending on second order derivatives of competing functions and on closed sets where discontinuities for either such functions or their first derivatives are allowed. The existence of minimizers for such functionals is shown together with some information about their regularity.
Keywords: free discontinuity problems