Article Contents
Article Contents

# Minimization of non quasiconvex functionals by integro-extremization method

• We consider non quasiconvex functionals of the form

$\F(u) = \int_\O [f(x,Du(x))+h(x,u(x))]dx$

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.

Mathematics Subject Classification: Primary: 49J45.

 Citation: