A relaxation result for autonomous integral functionals with discontinuous non-coercive integrand
Dipartimento di Matematica pura e applicata,
Università di Padova, 7 via Belzoni, 35131 Padova, Italy; firstname.lastname@example.org.; email@example.com.
Let be a Borelian function and consider the following problems We give a sufficient condition, weaker then superlinearity, under which if L is just continuous in x. We then extend a result of Cellina on the Lipschitz regularity of the minima of (P) when L is not superlinear.
Mathematics Subject Classification: 37N35
Key words: Lipschitz / regularity / non-coercive / discontinuous / calculus of variations.
© EDP Sciences, SMAI, 2004