메뉴 건너뛰기




Volumn 124, Issue 10, 1996, Pages 3039-3046

Multiple geometrically distinct closed noncollision orbits of fixed energy for N-body type problems with strong force potentials

Author keywords

Equivariant Ljusternik ; Geometrically distinct non collision periodic orbits; N body type problems with fixed energy; Schnirelmann theory

Indexed keywords


EID: 21444458278     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03751-3     Document Type: Article
Times cited : (6)

References (14)
  • 1
    • 0000278713 scopus 로고
    • Closed orbits of fixed energy for a class of N-body problems
    • MR 93e:58156a
    • A. Ambrosetti and V. Coti Zelati, Closed orbits of fixed energy for a class of N-body problems, Ann. IHP Analyse Nonlineaire 9 (1992), 187-200. MR 93e:58156a
    • (1992) Ann. IHP Analyse Nonlineaire , vol.9 , pp. 187-200
    • Ambrosetti, A.1    Coti Zelati, V.2
  • 2
    • 85012908947 scopus 로고
    • Periodic solutions of Hamiltonian systems of 3-body type
    • MR 92k:58223
    • A. Bari and P. H. Rabinowitz, Periodic solutions of Hamiltonian systems of 3-body type, Ann. IHP Analyse Nonlineaire 8 (1991), 561-649. MR 92k:58223
    • (1991) Ann. IHP Analyse Nonlineaire , vol.8 , pp. 561-649
    • Bari, A.1    Rabinowitz, P.H.2
  • 3
    • 0001101705 scopus 로고
    • Symmetries and non-collision closed orbits for planar N-body type problems
    • MR 92a:70006
    • U. Bessi and V. Coti Zelati, Symmetries and non-collision closed orbits for planar N-body type problems, J. Nonlinear Anal. T.M.A. 16 (1991), 587-598. MR 92a:70006
    • (1991) J. Nonlinear Anal. T.M.A. , vol.16 , pp. 587-598
    • Bessi, U.1    Coti Zelati, V.2
  • 4
    • 0000535217 scopus 로고
    • A class of periodic solutions of the N-body problem
    • MR 91c:58116
    • V. Coti Zelati, A class of periodic solutions of the N-body problem, Celestial Mech. 46 (1989), 177-186. MR 91c:58116
    • (1989) Celestial Mech. , vol.46 , pp. 177-186
    • Coti Zelati, V.1
  • 5
    • 0001114616 scopus 로고
    • The periodic solutions of N-body type problems
    • MR 93a:70009
    • _, The periodic solutions of N-body type problems, Ann. IHP Analyse Nonlineaire 7 (1990), 477-492. MR 93a:70009
    • (1990) Ann. IHP Analyse Nonlineaire , vol.7 , pp. 477-492
  • 6
    • 85013157515 scopus 로고
    • Infinite cuplength in free loop spaces with an application to a problem of the N-body type
    • MR 94a:58034
    • E. Fadell and S. Husseini, Infinite cuplength in free loop spaces with an application to a problem of the N-body type, Ann. IHP Analyse Nonlineaire 9 (1992), 305-319. MR 94a:58034
    • (1992) Ann. IHP Analyse Nonlineaire , vol.9 , pp. 305-319
    • Fadell, E.1    Husseini, S.2
  • 7
    • 84967782996 scopus 로고
    • Conservative dynamical systems involving strong forces
    • MR 51:14152
    • W. Gordon, Conservative dynamical systems involving strong forces, Trans. Amer. Math. Soc. 204 (1975), 113-135. MR 51:14152
    • (1975) Trans. Amer. Math. Soc. , vol.204 , pp. 113-135
    • Gordon, W.1
  • 8
    • 0002655982 scopus 로고
    • Analytical min-max methods for Hamiltonian break orbits of prescribed energy
    • MR 89m:58062
    • E. W. C. Van Groesen, Analytical min-max methods for Hamiltonian break orbits of prescribed energy, J. Math. Anal. Appl. 132 (1988), 1-12. MR 89m:58062
    • (1988) J. Math. Anal. Appl. , vol.132 , pp. 1-12
    • Van Groesen, E.W.C.1
  • 10
    • 0001901435 scopus 로고
    • Minimal methods in critical point theory with applications to differential equations
    • MR 87j:58024
    • P. Rabinowitz, Minimal methods in critical point theory with applications to differential equations, C.B.M.S. Reg. Conf. Ser. in Math. 65 (1986). MR 87j:58024
    • (1986) C.B.M.S. Reg. Conf. Ser. in Math. , vol.65
    • Rabinowitz, P.1
  • 11
    • 21144465413 scopus 로고
    • Noncollision solutions to some three-body problems
    • MR 93i:70013
    • E. Serra and S. Terracini, Noncollision solutions to some three-body problems, Arch. Rational Mech. Anal. 120 (1992), 305-325. MR 93i:70013
    • (1992) Arch. Rational Mech. Anal. , vol.120 , pp. 305-325
    • Serra, E.1    Terracini, S.2
  • 12
    • 0002619266 scopus 로고
    • Noncollision solutions to some singular minimization problems with Keplerian-like potentials
    • MR 94m:58091
    • _, Noncollision solutions to some singular minimization problems with Keplerian-like potentials, Nonlinear Analysis T.M.A. 22 (1994), 45-62. MR 94m:58091
    • (1994) Nonlinear Analysis T.M.A. , vol.22 , pp. 45-62


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.