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Volumn 11, Issue 4, 2000, Pages 395-430

Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems

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EID: 0013233280     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260000046     Document Type: Article
Times cited : (22)

References (14)
  • 1
    • 0000222362 scopus 로고    scopus 로고
    • A new cohomology for the morse theory of strongly indefinite functionals on hilbert spaces
    • A. Abbondandolo. A new cohomology for the morse theory of strongly indefinite functionals on hilbert spaces. Top. Methods Nonlinear Anal., 9: 325-382, 1997.
    • (1997) Top. Methods Nonlinear Anal. , vol.9 , pp. 325-382
    • Abbondandolo, A.1
  • 2
    • 0034148969 scopus 로고    scopus 로고
    • Morse theory for asymptotically linear hamiltonian systems
    • A. Abbondandolo. Morse theory for asymptotically linear hamiltonian systems. Nonlinear Anal., 39: 997-1049, 2000.
    • (2000) Nonlinear Anal. , vol.39 , pp. 997-1049
    • Abbondandolo, A.1
  • 3
    • 0002941971 scopus 로고
    • A new approach to the morse-conley theory and some applications
    • V. Benci. A new approach to the morse-conley theory and some applications. Ann. Mat. Pura Appl., 4: 158: 231-305, 1991.
    • (1991) Ann. Mat. Pura Appl. , vol.4 , pp. 158
    • Benci, V.1
  • 4
    • 1542437218 scopus 로고
    • Critical point theorems for indefinite functionals
    • V. Benci, P.H. Rabinowitz. Critical point theorems for indefinite functionals. Invent. Math., 52: 241-273, 1979.
    • (1979) Invent. Math. , vol.52 , pp. 241-273
    • Benci, V.1    Rabinowitz, P.H.2
  • 6
    • 84990569659 scopus 로고
    • Morse type index theory for flows and periodic solutions for hamiltonian equations
    • C. Conley, E. Zehnder. Morse type index theory for flows and periodic solutions for hamiltonian equations. Comm. Pure Appl. Math., 37: 207-253, 1984.
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 207-253
    • Conley, C.1    Zehnder, E.2
  • 11
    • 0000302191 scopus 로고
    • Nontrivial solutions of operator equations and morse indices of critical points of min-max type
    • A. C. Lazer, S. Solimini. Nontrivial solutions of operator equations and morse indices of critical points of min-max type. Nonlinear Anal., 12:761-775, 1988.
    • (1988) Nonlinear Anal. , vol.12 , pp. 761-775
    • Lazer, A.C.1    Solimini, S.2
  • 12
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications to differential equations
    • Providence
    • P.H. Rabinowitz. Minimax methods in critical point theory with applications to differential equations, vol. 65 of Reg. Conf. Ser. Math. Amer. Math. Soc., Providence, 1986.
    • (1986) Reg. Conf. Ser. Math. Amer. Math. Soc. , vol.65
    • Rabinowitz, P.H.1
  • 13
    • 0001350959 scopus 로고
    • Morse index estimates in min-max theorems
    • S. Solimini. Morse index estimates in min-max theorems. Manuscripta Math., 63: 421-453, 1989.
    • (1989) Manuscripta Math. , vol.63 , pp. 421-453
    • Solimini, S.1
  • 14
    • 38149144312 scopus 로고
    • Homoclinic orbits in a first ordre superquadratic hamiltonian system: Convergence of subharmonic orbits
    • K. Tanaka. Homoclinic orbits in a first ordre superquadratic hamiltonian system: convergence of subharmonic orbits. J. Differential Equations, 94: 315-339, 1991.
    • (1991) J. Differential Equations , vol.94 , pp. 315-339
    • Tanaka, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.