Minimization of nonsmooth integral functionals
1992 ◽
Vol 15
(4)
◽
pp. 673-679
Keyword(s):
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.
2014 ◽
Vol 24
(4)
◽
pp. 723-733
1970 ◽
Vol 22
(2)
◽
pp. 297-307
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1992 ◽
Vol 46
(2)
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pp. 295-310
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2002 ◽
Vol 65
(2)
◽
pp. 289-306
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2013 ◽
Vol 438
(1)
◽
pp. 96-110
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