Integral functionals on Sobolev spaces having multiple local minima

Details Integral functionals on Sobolev spaces having multiple local minima Integral functionals on Sobolev spaces having multiple local minima

2004-02-26

arxiv.org/abs/math/0402445v1

Mathematics

Optimization and Control

6 pages

Scientific paper

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].

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