We consider non quasiconvex functional of the form (Equation Presented) 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.
Minimization of non quasiconvex functionals by integro extremization method / Zagatti, Sandro. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 21:2(2008), pp. 625-641. [10.3934/dcds.2008.21.625]
Minimization of non quasiconvex functionals by integro extremization method
Zagatti, Sandro
2008-01-01
Abstract
We consider non quasiconvex functional of the form (Equation Presented) 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.File in questo prodotto:
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