Beaulieu, Anne Étude des solutions généralisées pour un système hamiltonien avec potentiel singulier. (Study of generalized solutions for a Hamiltonian system with singular potential). (French) Zbl 0758.35016 Duke Math. J. 67, No. 1, 21-37 (1992). The author studies the generalized solutions of the Hamiltonian system: \(\ddot q=-V_ q'(q,t)\) where the potential \(V\) is singular and has a particular expression. Reviewer: M.Puta (Timişoara) Cited in 5 Documents MSC: 35D05 Existence of generalized solutions of PDE (MSC2000) 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems PDF BibTeX XML Cite \textit{A. Beaulieu}, Duke Math. J. 67, No. 1, 21--37 (1992; Zbl 0758.35016) Full Text: DOI OpenURL References: [1] A. Bahri and P. H. Rabinowitz, A minimax method for a class of Hamiltonian systems with singular potentials , J. Funct. Anal. 82 (1989), no. 2, 412-428. · Zbl 0681.70018 [2] C. Greco, Remarks on periodic solutions for some dynamical systems with singularities , Periodic solutions of Hamiltonian systems and related topics (Il Ciocco, 1986) ed. P. H. Rabinowitz, et al., NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 209, Reidel, Dordrecht, 1987, pp. 169-173. · Zbl 0632.34043 [3] C. Greco, Periodic solutions of a class of singular Hamiltonian systems , Nonlinear Anal. 12 (1988), no. 3, 259-269. · Zbl 0648.34048 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.