A general variational principle and some of its applications

Preprint

31 December 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0501002

Abstract

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.

Keywords

CAPITAL
COERCIVE
GENERAL VARIATIONAL
PHI
PSI
REAL BANACH
REFLEXIVE
STRONGLY CONTINUOUS
TWO SEQUENTIALLY
VARIATIONAL PRINCIPLE

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