A Variant of the Mountain Pass Theorem and its Application to Hammerstein Integral Equations
Author(s) -
Vitaly Moroz,
Petr P. Zabrejko
Publication year - 1996
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/741
Subject(s) - mathematics , integral equation , mathematical analysis , calculus (dental) , medicine , dentistry
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.
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