A relaxation result for autonomous integral functionals with discontinuous non-coercive integrand
Carlo Mariconda, Giulia Treu (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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Let be a Borelian function and consider the following problems We give a sufficient condition, weaker then superlinearity, under which if is just continuous in . We then extend a result of Cellina on the Lipschitz regularity of the minima of when is not superlinear.