A Variant of the Mountain Pass Theorem and its Application to Hammerstein Integral Equations

V. Moroz; P. P. Zabrejko

doi:10.4171/zaa/741

JournalszaaVol. 15, No. 4pp. 985–997

A Variant of the Mountain Pass Theorem and its Application to Hammerstein Integral Equations

V. Moroz
The Academy of Sciences of Belarus, Minsk, Belarus
MathSciNet zbMATH Open
P. P. Zabrejko
The Academy of Sciences of Belarus, Minsk, Belarus
zbMATH Open

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Abstract

A new variant of the mountain pass theorem based on a ’strong’ deformation lemma is presented. Some applications to the existence of non-trivial solutions of nonlinear Hammerstein integral equations are given too.

Cite this article

V. Moroz, P. P. Zabrejko, A Variant of the Mountain Pass Theorem and its Application to Hammerstein Integral Equations. Z. Anal. Anwend. 15 (1996), no. 4, pp. 985–997

DOI 10.4171/ZAA/741