In this paper we analyze the hypotheses of two theorems which have proven to be useful tools for obtaining the existence of three critical points in nonlinear problems. In both cases the hypotheses can be stated in terms of some elementary inequalities involving “coercive” (in a suitable sense) sets of affine functions. We prove that the two resulting inequalities are in fact equivalent.
On the relationship between two three-critical-point theorems
FARACI, FRANCESCA;MOSCONI, SUNRA JOHANNES NIKOLAJ
2012-01-01
Abstract
In this paper we analyze the hypotheses of two theorems which have proven to be useful tools for obtaining the existence of three critical points in nonlinear problems. In both cases the hypotheses can be stated in terms of some elementary inequalities involving “coercive” (in a suitable sense) sets of affine functions. We prove that the two resulting inequalities are in fact equivalent.File in questo prodotto:
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