AZ p index theory

DOI10.1007/BF02108859zbMath0725.47043OpenAlexW102738356MaRDI QIDQ5201823

No author found.

Publication date: 1990

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02108859

zbMATH Keywords

index theoryindex mapprime factorsbifurcations in a family of nonautonomous Hamiltonian systemsfinite cyclic group of order p

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Bifurcations in context of PDEs (35B32) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

Ljusternik-Schnirelman theory in partially ordered Hilbert spaces, Remarks on subharmonics with minimal periods on Hamiltonian systems, Multiple nodal solutions having shared componentwise nodal numbers for coupled Schrödinger equations, Applications of a \(Z_p\) index theory to periodic solutions for a class of functional-differential equations

Cites Work

• Subharmonic solutions with prescribed minimal period for nonautonomous Hamiltonian systems
• Bifurcation for odd potential operators and an alternative topological index
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Dual variational methods in critical point theory and applications
• A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equations