A general mountain pass principle for locating and classifying critical points

DOI10.1016/S0294-1449(16)30313-4zbMath0711.58008OpenAlexW2588293794WikidataQ102152544 ScholiaQ102152544MaRDI QIDQ923443

David Preiss, Nassif Ghoussoub

Publication date: 1989

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1989__6_5_321_0

zbMATH Keywords

saddle pointAmbrosetti-Rabinowitz theoremMountain pass

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

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Cites Work

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• A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain-Pass Theorem
• The Structure of the Critical Set in the Mountain Pass Theorem
• Variational and topological methods in nonlinear problems
• Location, multiplicity and Morse indices of min-max critical points.