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Existence of solutions for some implicit partial differential equations and applications to variational integrals involving quasiaffine functions

TítuloExistence of solutions for some implicit partial differential equations and applications to variational integrals involving quasiaffine functions
Publication TypeUnpublished
Year of Publication2005
AuthorsDacorogna B, Ribeiro AM
Series TitlePreprint
AbstractWe discuss some existence theorems for partial differential inclusions,subject to Dirichlet boundary conditions, of the form F(Du(x)) 2 fa, b g, a:e. x 2 W, where F is a quasiaffine function and so, in particular, for F(Du) = detDu. We then apply it to minimization problems of the form inf sg(F(Du(x))) dx : u 2 j + W_0^{1,∞} (W;R^m).
URLhttp://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2005/3_05.pdf