Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1996-12-31
A Variant of the Mountain Pass Theorem and its Application to Hammerstein Integral EquationsV. Moroz and P. P. Zabrejko (1) The Academy of Sciences of Belarus, Minsk, Belarus
(2) The Academy of Sciences of Belarus, Minsk, Belarus
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.
Keywords: Critical point theory, mountain pass lemma, Hammerstein integral equations, non-trivial solutions
Moroz V., Zabrejko P. P.: A Variant of the Mountain Pass Theorem and its Application to Hammerstein Integral Equations. Z. Anal. Anwend. 15 (1996), 985-997. doi: 10.4171/ZAA/741