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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

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