Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities

Nonlinearity

Volumn 13, Issue 5, 2000, Pages 1501-1514

  Terracini, Susanna ^a   Verzini, Gianmaria ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034258413     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/13/5/305     Document Type: Article

References (25)

1. Antonacci F 1997 Existence of periodic solutions of hamiltonian systems with potential indefinite in sign Nonlinear Anal. 29 1353-64
2. Alama S and Tarantello G 1993 On semilinear elliptic equations with indefinite nonlinearities Calc. Var. Partial Differ. Equ. 1 439-75
3. Alama S and Tarantello G 1996 Elliptic problems with nonlinearities indefinite in sign J. Fund. Anal. 141 159-215
4. Alama S and Del Pino M 1996 Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking Ann. Inst. H Poincaré Anal. Non Linéaire 13 95-115
5. Ambrosetti A and Rabinowitz P H 1973 Dual variational methods in critical point theory and applications J. Funct. Anal. 14 349-81
6. Badiale M 1996 Infinitely many solutions for some indefinite elliptic problems Commun. Appl. Nonlinear Anal. 361-76
7. Badiale M and Nabana E 1996 A remark on multiplicity of solutions for semilinear elliptic problems with indefinite nonlinearity C. R. Acad. Sci., Paris I 323 151-6
8. Ben Nauom A K, Troestler C and Willem M 1994 Existence and multiplicity result for homogeneous second order differential equations J. Differ. Equ. 112 239-49
9. Berestycki H, Capuzzo Dolcetta I and Nirenberg L 1994 Superlinear indefinite homogeneous elliptic problems and nonlinear Liouville theorems Topol. Methods Nonlinear Anal. 4 59-78
10. Berestycki H, Capuzzo Dolcetta I and Nirenberg L 1995 Variational methods for indefinite superlinear homogeneous elliptic systems Nonlinear Differ. Equ. Appl. 2 533-72
11. N Arch. Rat. Mech. Anal. 124 261-76
12. Butler G J 1976 Rapid oscillations, nonextendability and the existence of periodic solutions to second order nonlinear ordinary differential equations J. Differ. Equ. 22 467-77
13. Capietto A, Mawhin J and Zanolin F 1995 On the existence of two solutions with a prescribed number of zeros for a superlinear two-point boundary value problem Topol. Methods Nonlinear Anal. 6 175-88
14. Chobanov G, Marino A and Scolozzi D 1990 Evolution equation for the eigenvalue problem for the Laplace operator with respect to an obstacle Rend. Accad. Naz. Sci. XL 14 139-62
15. Girardi M and Matzeu M 1997 On periodic solutions of a class of second order nonautonomous systems with nonhomogeneus potential indefinite in sign Rend. Sem. Mat. Univ. Padova 97 193-210
16. Lassoued L 1991 Periodic solutions of a second order superquadratic system with a change of sign in the potential J. Differ. Equ. 93 1-18
17. Jacobowitz H 1976 Periodic solutions of χ̈ + f(t, χ) = 0 via the Poincaré-Birkoff theorem J. Differ. Equ. 20 37-52
18. Miranda C 1940 Un'osservazione sul teoremadi Brouwer Boll. UMI II, Anno II 1 5-7
19. Nehari Z 1961 Characteristic values associated with a class of nonlinear second order differential equations Acta Math. 105 141-75
20. p = 0 on the compact manifolds Trans. Am. Math. Soc. 331 503-27
21. p = 0 on compact manifolds. II Ind. Univ. Math. J. 40 1083-141
22. Papini D 1999 Infinitely many solutions for a Floquet-type BVP with superlinearity indefinite in sign Preprint SISSA (Trieste)
23. Rabinowitz P H 1973 Some aspects of nonlinear eigenvalue problems Rocky Mt. J. Math. 3 161 -202
24. Rabinowitz P H 1986 Minimax methods in critical point theory with applications to differential equations CBMS Reg. Conf. Series Math, vol 65 (Providence, RI: American Mathematical Society)
25. Ramos M, Terracini S and Troestler C 1998 Superlinear indefinite elliptic problems and Pohozaev type identities J. Fund. Anal. 159 596-628