Relaxation in BV for a class of functionals without continuity assumptions

Author: Amar M.  

Publisher: Springer Publishing Company

ISSN: 1021-9722

Source: Nonlinear Differential Equations and Applications NoDEA, Vol.15, Iss.1-2, 2008-04, pp. : 25-44

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Abstract

This paper is devoted to prove new relaxation and Γ-convergence theorems on BV(Ω) for a class of integral functionals, whose integrands have a product type structure, but they do not satisfy any assumptions of coerciveness or continuity with respect to the spatial variable.