arXiv:math/0402445 [math.OC]AbstractReferencesReviewsResources
Integral functionals on Sobolev spaces having multiple local minima
Published 2004-02-26Version 1
In this paper, two multiplicity results about local minima of integrals of the calculus of variations are established. The main tool used to prove them is the theory developed in [B. Ricceri, Sublevel sets and global minima of coercive functionals and local minima of their pertubations, math.OC/0402444].
Comments: 6 pages
Journal: Variational analysis and applications, 953--961, Nonconvex Optim. Appl., 79, Springer, New York, 2005
Categories: math.OC
Subjects: 35J20
Keywords: multiple local minima, integral functionals, sobolev spaces, multiplicity results, main tool
Tags: journal article
Related articles: Most relevant | Search more
arXiv:1312.5715 [math.OC] (Published 2013-12-19)
Integral functionals on $L^p$-spaces: infima over sub-level sets
arXiv:1608.01832 [math.OC] (Published 2016-08-05)
Metamorphoses of functional shapes in Sobolev spaces
arXiv:1308.4787 [math.OC] (Published 2013-08-22)
Continuous essential selections and integral functionals