Periodic solutions of a superlinear wave equation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 29, Issue 3, 1997, Pages 265-282

  Yanheng, Ding ^a   Shujie, Li ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Minimax method; Periodic solution; Wave equation

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; THEOREM PROVING;

LEMMA; PERIODIC SOLUTIONS; SUPERLINEAR WAVE EQUATION;

PROBLEM SOLVING;

EID: 0031209377     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00045-4     Document Type: Article

References (11)

1. RABINOWITZ, E. H., Free vibrations for a semilinear wave equation. Comm. Pure Appl. Math., 1978, 31, 31-68.
2. LI, S. J. & SZU KIN A., Periodic solution for a class of nonautonomous wave equations differential and integral equations, to be published.
3. WILLEM, M. subharmonic oscillations of a semilinear wave equation. Nonlinear Analysis, 1985, 9, 503-514.
4. CHANG, K. C R LIU. J. Q., The existence of infinitely many solutions for the semilinear wave equation, to be published.
5. DING, Y. H., A L on nonlinear beam equations (in Chinese). Acta Math. Sinica, 1990, 33, 172-181.
6. LIU, J. Q. & LI Some existence theorems on multiple critical points and their applications. Kexue Tongbao, 1984, 17.
7. SILVA, E. A. B. Critical point theorems and applications. Ph. D. thesis, Univ. of Wisconsin-Madison, 1988.
8. SILVA, E. A. B. Hearing theorems and applications to semilinear elliptic problems at resonance. Nonlinear Analysis, 1991, 16, 455-4.
9. BRÉZIS, H. & NIRENBERG, L., Remarks on finding critical points. Comm. Pure Appl. Math., 1991, 64, 939-963.
10. LI, S. I. & WILLIAM, M., Applications of local linking to critical point theory. J. Math. Anal. Applic., 1995, 189, 6-32.
11. BREZIS, H., CORI S. J. M. & NIRENBERG, L., Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz J. Am. Pure Appl. Math., 1980, 33, 667-689.