Nonlinear Hammerstein integral equations via local linking and mountain pass

DOI10.1007/s12215-011-0056-0zbMath1237.45006OpenAlexW2009383722MaRDI QIDQ658939

Donal O'Regan

Publication date: 9 February 2012

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-011-0056-0

zbMATH Keywords

local linkingMorse theorycritical pointscritical valuenonlinear Hammerstein integral equation

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational methods involving nonlinear operators (47J30) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Cites Work

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• Existence of solutions to nonlinear Hammerstein integral equations and applications
• A new approach to the Morse-Conley theory and some applications
• Infinite dimensional Morse theory and multiple solution problems
• Applications of local linking to critical point theory