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초록· 키워드
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We show the existence of at least two solutions for a
class of systems of the critical growth nonlinear suspension bridge
equations with Dirichlet boundary condition and periodic condition.
We ¯rst show that the system has a positive solution under suit-
able conditions, and next show that the system has another solution
under the same conditions by the linking arguments.
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참고문헌 (8)
참고문헌 신청
J. T. Schwartz / 1969 / Nonlinear functional analysis / Gordon and Breach
K. C. Chang / 1981 / Solutions of asymptotically linear operator equations via Morse theory / Comm. Pure Appl. Math 34 : 693 ~ 712
K. C. Chang / 1993 / In?nite dimensional Morse theory and multiple solution prob- lems / BirkhAauser
P. H. Rabinowitz / 1986 / Minimax methods in critical point theory with applications to di®erential equations / C.B.M.S. Reg. Conf. Ser. in Math 6
P. J. McKenna / 1987 / Nonlinear oscillations in a suspen- sion bridge / Archive for Rational Mechanics and Analysis 98 (2) : 167 ~ 177
K. C. Chang / 1981 / Solutions of asymptotically linear operator equations via Morse theory / Comm. Pure Appl. Math 34 : 693 ~ 712
K. C. Chang / 1993 / In?nite dimensional Morse theory and multiple solution prob- lems / BirkhAauser
P. H. Rabinowitz / 1986 / Minimax methods in critical point theory with applications to di®erential equations / C.B.M.S. Reg. Conf. Ser. in Math 6
P. J. McKenna / 1987 / Nonlinear oscillations in a suspen- sion bridge / Archive for Rational Mechanics and Analysis 98 (2) : 167 ~ 177
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