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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2003 Volume 37, Issue 2, Pages 75–80 (Mi faa150)
This article is cited in 1 paper

On Functionals Bounded Below

W. Zoua, M. Schechterb

a Tsinghua University
b University of California, Irvine

Abstract: In this paper, we prove that the infimum of a functional with a lower bound is a critical value. The novelty is that we do not need the Palais–Smale type condition.

Keywords: lower boundedness, critical point, eigenvalue.

UDC: 517.988.3

Received: 12.02.2002

DOI: 10.4213/faa150


 English version: Functional Analysis and Its Applications, 2003, 37:2, 142–146

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