| Abstract: |
| We present three different types of theorems establishing the existence of at least three critical points for suitable functionals. In the first type, there might be no local minimum among the three critical points. In the second type, at least one of them is a local minimum. Finally, in the third type, there are two local minimums among the three critical points. The conditions imposed on the functionals insure that the existence of each of these three critical points relies on a suitable linking pairs geometry. Many particular cases of these results are presented. |
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