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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 199 - 212 (14page)
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We investigate the multiplicity of the nontrivial periodic solutions for a class of the system of the nonlinear suspension bridge equations with Dirichlet boundary condition and periodic condition. We show that the system has at least two nontrivial periodic solutions by the abstract version of the critical point theory on the manifold with boundary. We investigate the geometry of the sublevel sets of the corresponding functional of the system and the topology of the sublevel sets. Since the functional is strongly inde¯nite, we use the notion of the suitable version of the Palais-Smale condition.
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참고문헌 (12)
참고문헌 신청
D. Lupo / 1995 / Nontrivial solutions for an asymptotically linear beam equation / Dynam. Systems Appl 4 : 147 ~ 156
D. Lupo / 1996 / Two applications of a three critical points theorem / J. Differential Equations 132 : 222 ~ 238
G. Fournier / 1993 / Limit relative category and critical point theory / Dynam. Report 3 : 1 ~ 23
K. C. Chang / 1993 / In?nite dimensional Morse theory and multiple solution problems / Birkhauser
M. Degiovanni / 1985 / Evolution equation with lack of convexity / Nonlinear Anal 9 : 1401 ~ 1433
D. Lupo / 1996 / Two applications of a three critical points theorem / J. Differential Equations 132 : 222 ~ 238
G. Fournier / 1993 / Limit relative category and critical point theory / Dynam. Report 3 : 1 ~ 23
K. C. Chang / 1993 / In?nite dimensional Morse theory and multiple solution problems / Birkhauser
M. Degiovanni / 1985 / Evolution equation with lack of convexity / Nonlinear Anal 9 : 1401 ~ 1433
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