| Title | Existence of solutions for some implicit partial differential equations and applications to variational integrals involving quasiaffine functions |
| Publication Type | Unpublished |
| Year of Publication | 2005 |
| Authors | Dacorogna B, Ribeiro AM |
| Series Title | Preprint |
| Abstract | We 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). |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2005/3_05.pdf |