On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
Open Access
- 1 December 1982
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 274 (2) , 533-572
- https://doi.org/10.2307/1999120
Abstract
We consider functionals which are not bounded from above or from below even modulo compact perturbations, and which exhibit certain symmetries with respect to the action of a compact Lie group.Keywords
This publication has 10 references indexed in Scilit:
- Variational Methods for Nonlinear Eigenvalue ProblemsPublished by Springer Nature ,2009
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinityNonlinear Analysis, 1983
- A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equationsCommunications on Pure and Applied Mathematics, 1981
- On subharmonic solutions of hamiltonian systemsCommunications on Pure and Applied Mathematics, 1980
- Periodic solutions of asymptotically linear Hamiltonian systemsmanuscripta mathematica, 1980
- Some critical point theorems and applicationsCommunications on Pure and Applied Mathematics, 1980
- Critical point theorems for indefinite functionalsInventiones Mathematicae, 1979
- Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systemsInventiones Mathematicae, 1978
- Dual variational methods in critical point theory and applicationsJournal of Functional Analysis, 1973
- Topological Methods in the Theory of Nonlinear Integral Equations.The American Mathematical Monthly, 1968