4.7 Article

A general variational principle and some of its applications

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 113, Issue 1-2, Pages 401-410

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/S0377-0427(99)00269-1

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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 Phi + lambda psi for each sufficiently large lambda is an element of R. (C) 2000 Elsevier Science B.V. All rights reserved.

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