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- W4297582012 abstract "We obtain multiplicity results for a class of first-order superquadratic Hamiltonian systems and a class of indefinite superquadratic elliptic systems which lead to the study of strongly indefinite functionals. There is no assumption to the effect that the nonlinear terms have to satisfy the Ambrosetti-Rabinowitz superquadratic condition. To establish the existence of solutions, a new version of the symmetric mountain pass theorem for strongly indefinite functionals is presented in this paper. This theorem is subsequently applied to deal with cases where all the Palais-Smale sequences of the energy functional may be unbounded." @default.
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- W4297582012 date "2014-03-01" @default.
- W4297582012 modified "2023-09-25" @default.
- W4297582012 title "On differential systems with strongly indefinite variational structure" @default.
- W4297582012 doi "https://doi.org/10.48550/arxiv.1403.0158" @default.
- W4297582012 hasPublicationYear "2014" @default.
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