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Volumn 30, Issue 8, 1997, Pages 4849-4857

Homoclinic orbits for a special class of non autonomous hamiltonian systems

Author keywords

Genus properties; Hamiltonian systems; Homoclinic orbits; Palais Smale condition; Variational methods; Weighted Lp spaces

Indexed keywords


EID: 0043229420     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00142-9     Document Type: Article
Times cited : (55)

References (12)
  • 1
    • 0010715578 scopus 로고
    • Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains
    • BENCI V. & FORTUNATO D., Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains, Ann. Mat. Pura Appl. 121, 319-336 (1976).
    • (1976) Ann. Mat. Pura Appl. , vol.121 , pp. 319-336
    • Benci, V.1    Fortunato, D.2
  • 3
    • 0001645385 scopus 로고
    • Homoclinic orbits on compact manifolds
    • BENCI V. & GIANNONI F., Homoclinic orbits on compact manifolds, J. Math. Anal. Appl. 157, 568-576 (1991).
    • (1991) J. Math. Anal. Appl. , vol.157 , pp. 568-576
    • Benci, V.1    Giannoni, F.2
  • 4
    • 0002224090 scopus 로고
    • A variant of the Lusternik-Schnirelmann theory
    • CLARK D. C., A variant of the Lusternik-Schnirelmann theory, Indiana. Univ. Math. J. 22, 65-74 (1972).
    • (1972) Indiana. Univ. Math. J. , vol.22 , pp. 65-74
    • Clark, D.C.1
  • 5
    • 0000830631 scopus 로고
    • A variational approach to homoclinic orbits in Hamiltonian systems
    • COTI ZELATI V., EKELAND I. & SÉRÉ E., A variational approach to homoclinic orbits in Hamiltonian systems, Math. Ann. 288, 133-160 (1990).
    • (1990) Math. Ann. , vol.288 , pp. 133-160
    • Coti Zelati, V.1    Ekeland, I.2    Séré, E.3
  • 6
    • 0000520530 scopus 로고
    • Homoclinic oibits for a class of Hamiltonian systems
    • OMANA W. & WILLEM M., Homoclinic oibits for a class of Hamiltonian Systems, Differential Integral Equations 5, 1115-1120 (1992).
    • (1992) Differential Integral Equations , vol.5 , pp. 1115-1120
    • Omana, W.1    Willem, M.2
  • 8
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications in differential equations
    • Amer. Math. Soc., Providence
    • RABINOWITZ P. H., Minimax methods in critical point theory with applications in differential equations, CBMS Reg. Conf. Series no 65, Amer. Math. Soc., Providence, (1986).
    • (1986) CBMS Reg. Conf. Series , vol.65
    • Rabinowitz, P.H.1
  • 9
    • 85037775971 scopus 로고
    • Periodic and heteroclinic orbits for a periodic Hamiltonian system
    • RABINOWITZ P. H., Periodic and heteroclinic orbits for a periodic Hamiltonian System, Ann. Inst. H. Poincaré, Anal. Non Linéaire 6, 331-346 (1989).
    • (1989) Ann. Inst. H. Poincaré, Anal. Non Linéaire , vol.6 , pp. 331-346
    • Rabinowitz, P.H.1
  • 10
    • 51249171492 scopus 로고
    • Some results on connecting orbits for a class of Hamiltonian systems
    • RABINOWITZ P. H. & TANAKA K., Some results on connecting orbits for a class of Hamiltonian Systems, Math. Z. 206, 473-479 (1991).
    • (1991) Math. Z. , vol.206 , pp. 473-479
    • Rabinowitz, P.H.1    Tanaka, K.2
  • 11
    • 0042803135 scopus 로고    scopus 로고
    • On the existence of homoclinic orbits for a second order hamiltonian system
    • SALVATORE A., On the existence of homoclinic orbits for a second order hamiltonian system, to appear on Differential Integral Equations 10, (1997).
    • (1997) Differential Integral Equations , vol.10
    • Salvatore, A.1
  • 12
    • 0042803136 scopus 로고    scopus 로고
    • Homoclinic orbits for a class of strictly convex Hamiltonian systems
    • SALVATORE A., Homoclinic orbits for a class of strictly convex Hamiltonian Systems, Rapp. Dip. Mat. Univ. Bari, 31, (1996).
    • (1996) Rapp. Dip. Mat. Univ. Bari , vol.31
    • Salvatore, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.