CRITICAL-VALUES OF BOUNDED FROM BELOW FUN CTIONALS AND HAMMERSTEIN EQUATIONS

Authors
VIGNOLI A ZABREJKO PP MOROZ VB
Citation
A. Vignoli et al., CRITICAL-VALUES OF BOUNDED FROM BELOW FUN CTIONALS AND HAMMERSTEIN EQUATIONS, Doklady Akademii nauk BSSR, 41(2), 1997, pp. 16-21
Citations number
13
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Doklady Akademii nauk BSSR → ACNP
ISSN journal
0002354X
Volume
41
Issue
2
Year of publication
1997
Pages
16 - 21
Database
ISI
SICI code
0002-354X(1997)41:2<16:COBFBF>2.0.ZU;2-9
Abstract
A new variant of The Three Critical Points theorem is obtained. The au thors prove that (under suitable quite simple hypotheses) either the f unctional in question has at least three distinct critical values or, its set of minimum points is noncontractible in itself. As application , the problem of nontrivial solutions of nonlinear integral Hammerstei n equations with lack of compactness is considerd.