Amar, M.; Cicco, V. De Relaxation in BV for a class of functionals without continuity assumptions. (English) Zbl 1153.49016 NoDEA, Nonlinear Differ. Equ. Appl. 15, No. 1-2, 25-44 (2008). Summary: This paper is devoted to prove new relaxation and \(\Gamma\)-convergence theorems on \(\text{BV}(\Omega)\) 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. Cited in 4 Documents MSC: 49J45 Methods involving semicontinuity and convergence; relaxation 49Q20 Variational problems in a geometric measure-theoretic setting 49M20 Numerical methods of relaxation type Keywords:relaxation; BV-functions; \(\Gamma\)-convergence PDFBibTeX XMLCite \textit{M. Amar} and \textit{V. De Cicco}, NoDEA, Nonlinear Differ. Equ. Appl. 15, No. 1--2, 25--44 (2008; Zbl 1153.49016) Full Text: DOI