Recently, Ricceri posed a question about the uniqueness of a parameter such that a corresponding functional admits at least three critical points in a finite-dimensional Hilbert space X (under certain assumptions on the functional). We give the answer, which is negative, even in the case of infinite-dimensional spaces. Moreover, we discuss the structure of the set of parameters such that the above situation occurs.
Titolo: | A note on a question of Ricceri |
Autori: | |
Data di pubblicazione: | 2012 |
Rivista: | |
Abstract: | Recently, Ricceri posed a question about the uniqueness of a parameter such that a corresponding functional admits at least three critical points in a finite-dimensional Hilbert space X (under certain assumptions on the functional). We give the answer, which is negative, even in the case of infinite-dimensional spaces. Moreover, we discuss the structure of the set of parameters such that the above situation occurs. |
Handle: | http://hdl.handle.net/11562/766163 |
Appare nelle tipologie: | 01.01 Articolo in Rivista |
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