Minimization of nonsmooth integral functionals

Minimization of nonsmooth integral functionals

In this paper we examine optimization problems involving multidimensional nonsmooth integral functionals defined on Sobolev spaces. We obtain necessary and sufficient conditions for optimality in convex, finite dimensional problems using techniques from convex analysis and in nonconvex, finite dimen...

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Bibliographic Details
Main Authors: Nikolaos S. Papageorgiou, Apostolos S. Papageorgiou
Format: Article
Language:English
Published: Hindawi Limited 1992-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Sobolev space
convex integrand
convex subdifferential
Clarke's subdifferential
ϵ-subdifferential
Young-Fenchel equality.
Online Access:http://dx.doi.org/10.1155/S0161171292000899
Description
Summary:In this paper we examine optimization problems involving multidimensional nonsmooth integral functionals defined on Sobolev spaces. We obtain necessary and sufficient conditions for optimality in convex, finite dimensional problems using techniques from convex analysis and in nonconvex, finite dimensional problems, using the subdifferential of Clarke. We also consider problems with infinite dimensional state space and we finally present two examples.
ISSN:0161-1712
1687-0425

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