Ambrosio, Luigi New lower semicontinuity results for integral functionals. (English) Zbl 0642.49007 Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 11, No. 1, 1-42 (1987). The author studies the semicontinuity of integral functionals of the type \(F(u)=\int_{\Omega}f(x,u,Du)dx\) where f is a discontinuous function of u. The techniques used are related to approximation of convex functions depending on a parameter. Reviewer: R.Schianchi Cited in 11 Documents MSC: 49J45 Methods involving semicontinuity and convergence; relaxation 26B25 Convexity of real functions of several variables, generalizations 49J20 Existence theories for optimal control problems involving partial differential equations Keywords:semicontinuity; integral functionals; approximation of convex functions PDFBibTeX XMLCite \textit{L. Ambrosio}, Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 11, No. 1, 1--42 (1987; Zbl 0642.49007)