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Some extensions of the mountain pass lemma

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Publication:1174384
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zbMath0746.47041MaRDI QIDQ1174384

Dajun Guo, Guijie Qi, Jingxian Sun

Publication date: 25 June 1992

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

Hammerstein integral equationscritical valuemountain pass lemma\(PS\)-condition


Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)


Related Items (8)

Mountain pass on a closed convex set ⋮ Fixed point theorems for a class of nonlinear operators in Hilbert spaces with lattice structure and application ⋮ Professor Dajun Guo: a true mathematician and educator ⋮ Remarks on Forced Equations of the Double Pendulum Type ⋮ A critical point theorem in bounded convex sets and localization of Nash-type equilibria of nonvariational systems ⋮ A compression type mountain pass theorem in conical shells ⋮ Existence and multiplicity results for a degenerate elliptic equation ⋮ A Schechter type critical point result in annular conical domains of a Banach space and applications







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