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

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.
Minimax Inequality; Convex Analysis; Critical points
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/251706
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact