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On non quasiconvex problems of the calculus of variations

TítuloOn non quasiconvex problems of the calculus of variations
Publication TypeUnpublished
Year of Publication2005
AuthorsDacorogna B, Pisante G, Ribeiro AM
Series TitlePreprint
AbstractWe study existence of minimizers for problems of the type inf {∫Ω f (Du(x)) dx : u = u_ξ_0 on ∂Ω} where f is non quasiconvex and u_ξ 0 is an affine function. Applying some new results on differential inclusions, we get sufficient conditions. We also study necessary conditions. We then consider some examples.
URLhttp://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2005/4_05.pdf