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.
2008
21
2
625
641
http://dx.doi.org/10.3934/dcds.2008.21.625
Zagatti, Sandro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16932
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