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Minimization of non quasiconvex functionals by integro-extremization method
| 1. | S.I.S.S.A. - Via Beirut 2/4 I-34014 Trieste, Italy |
$\F(u) = \int_\O [f(x,Du(x))+h(x,u(x))]dx$
defined on Sobolev functions subject to Dirichlet boundary conditions. We give an existence result for minimum points, based on regularity assumptions on the minimizers of the relaxed functional, applying the method of extremization of the integral.
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