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Abstract:
We present a more general form of the mountain pass lemma. It asserts that a C-1 functional which satisfies the Palais-Smale condition admits a critical value when the connectedness of certain level sets changes. We also give an improved form of a theorem given in [A. Bahri, H. Berestycki, A perturbation method in critical point theory and applications, Trans. Amer. Math. Soc. 267 (1) (1981) 1-32], which characterizes the existence of the critical value by means of contractibility properties of the level sets. (C) 2007 Elsevier Ltd. All rights reserved.
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APPLIED MATHEMATICS LETTERS
ISSN: 0893-9659
Year: 2008
Issue: 6
Volume: 21
Page: 554-557
0 . 9 4 8
JCR@2008
4 . 0 5 5
JCR@2020
ESI Discipline: MATHEMATICS;
JCR Journal Grade:2
CAS Journal Grade:2
Cited Count:
WoS CC Cited Count: 0
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 5