A general variational principle and some of its applications

Details A general variational principle and some of its applications A general variational principle and some of its applications

2004-12-31

arxiv.org/abs/math/0501002v1

J. Comput. Appl. Math., 113 (2000), 401-410

Mathematics

Optimization and Control

10 pages

Scientific paper

In this paper, given a reflexive real Banach space X and two sequentially
weakly lower semicontinuous functionals Phi, Psi on X with Psi strongly
continuous and coercive, we are mainly interested in the existence of
infinitely many local minima of the functional capital Phi + r Psi for each
sufficiently real r.

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