Calculus of Variations and Geometric Measure Theory

M. Carriero - A. Leaci - F. Tomarelli

Second order variational problems with free discontinuity and free gradient discontinuity

created on 25 Jul 2004
modified by tomarelli on 23 Dec 2008


Published Paper

Inserted: 25 jul 2004
Last Updated: 23 dec 2008

Journal: ``Calculus of Variations: Topics from the Mathematical Heritage of Ennio De Giorgi'', D. Pallara ed., Quaderni di Matematica, 14, Dipartimento di Matematica Seconda Universita' di Napoli.
Volume: 14
Pages: 135-186
Year: 2004


In this paper we unify general properties of functionals depending on first and second derivatives together with free discontinuities and free gradient discontinuities. The framework has an interest in itself, nevertheless the scheme includes many relevant applications to image processing and continuum mechanics.

Keywords: free discontinuity problems