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Zbl 0979.35040
Ricceri, Biagio
On a three critical points theorem.
(English)
[J] Arch. Math. 75, No.3, 220-226 (2000). ISSN 0003-889X; ISSN 1420-8938/e

The author consider a smooth functional depending on a real parameter $\lambda$. He obtains certain results on existence of an open interval of $\lambda$'s for which there exist at least three critical points. An application to a semilinear Dirichlet problem is mentioned.
[Aleksander Pankov (Vinnitsa)]
MSC 2000:
*35J20 Second order elliptic equations, variational methods
49J35 Minimax problems (existence)
58E05 Abstract critical point theory

Keywords: critical points; semilinear Dirichlet problem

Cited in: Zbl 1228.58009 Zbl 1180.35222 Zbl 1182.35120 Zbl 1180.49005 Zbl 1179.65018 Zbl 1173.35486 Zbl 1167.35381 Zbl 1161.35371 Zbl 1212.58009 Zbl 1150.34342 Zbl 1126.35030 Zbl 1146.35349 Zbl 1055.34037 Zbl 1048.58005 Zbl 1015.34012 Zbl 1014.49004

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