Critical points of convex perturbations of quadratic functionals

DOI10.1016/S0893-9659(98)00135-9zbMath0945.58013WikidataQ126527194 ScholiaQ126527194MaRDI QIDQ1809029

Efim Schwartzman, Alexander D. Ioffe

Publication date: 12 October 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

convex functionlocally Lipschitz functionexistence of critical pointsexistence of closed orbits of Hamiltonian systems at resonancefunctionals at resonanceweighted version of the Palais-Smale condition

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Cites Work

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• Critical points of convex perturbations of some indefinite quadratic forms and semilinear boundary value problems at resonance
• Critical point theory and Hamiltonian systems
• Deformation properties for continuous functionals and critical point theory
• Infinite dimensional Morse theory and multiple solution problems
• Mountain pass theorems and global homeomorphism theorems
• Metric critical point theory. I: Morse regularity and homotopic stability of a minimum
• Periodic solutions of nonlinear vibrating strings and duality principles
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Remarks on finding critical points

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