Minimization of non quasiconvex functionals by integro-extremization method

Sandro Zagatti

doi:10.3934/dcds.2008.21.625

Article Contents

2008, Volume 21, Issue 2: 625-641. Doi: 10.3934/dcds.2008.21.625

This issue Previous Article Global exponential stability of traveling waves in monotone bistable systems Next Article Compact uniform attractors for dissipative lattice dynamical systems with delays

Minimization of non quasiconvex functionals by integro-extremization method

Sandro Zagatti^1,

1.
S.I.S.S.A. - Via Beirut 2/4 I-34014 Trieste

Received: March 31, 2007

Revised: October 31, 2007

Published: April 2008

Abstract Related Papers Cited by

Abstract

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.

Keywords:

Minimum problem,
non quasiconvex functionals.

Mathematics Subject Classification: Primary: 49J45.

Citation:

Article Metrics

HTML views() PDF downloads(79) Cited by(0)

Minimization of non quasiconvex functionals by integro-extremization method

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Minimization of non quasiconvex functionals by integro-extremization method

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content