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Limit analysis for a class of nonconvex problems

Published online by Cambridge University Press:  14 November 2011

Giuseppe Buttazzo  and
Loris Faina
Giuseppe Buttazzo
Affiliation:
Istituto di Matematiche Applicate, Via Bonanno, 25 B, 56126 Pisa, Italy
Loris Faina
Affiliation:
S.I.S.S.A., Strada Costiera, 11, 34014 Trieste, Italy
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Synopsis

The problem

is considered, where X is a normed space, F: X →] –∞, + ∞] is a (possibly non-convex) functional and L ∈ X'. We look for the values of γy for which the infimum above is attained. Applications to nonconvex functionals denned on measures and on the BV space are given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 4 , 1993 , pp. 693 - 706
Copyright
Copyright © Royal Society of Edinburgh 1993

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