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We investigate the multiple nontrivial solutions of the asymmetric
beam equation [수식] with Dirichlet boundary condition and periodic condition on t.
We reduce this problem into a two-dimensional problem by using
variational reduction method and apply the Mountain Pass theorem
to find the nontrivial solutions of the equation.
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참고문헌 (11)
참고문헌 신청
A. Ambrosetti / 1973 / Dual variation methods in critical point theory and applications / J. Functional analysis 14 : 349 ~ 381
A. C. Lazer / 1988 / A symmetry theorem and applications to non-linear partial differential equations / J. Differential Equations 72 : 95 ~ 106
A. C. Lazer / 1990 / Large-amplitude periodic oscillations in sus-pension bridges: some new connections with nonlinear analysis / SIAM Review 32 : 537 ~ 578
A. C. Lazer / 1994 / Global bifurcation and a theorem of Tarantello / J. Math. Anal. Appl 181 : 648 ~ 655
A. M. Micheletti / 1998 / Multiplicity results for a fourth-order semilinear elliptic problem / Nonlinear Analysis TMA 31 : 895 ~ 908
A. C. Lazer / 1988 / A symmetry theorem and applications to non-linear partial differential equations / J. Differential Equations 72 : 95 ~ 106
A. C. Lazer / 1990 / Large-amplitude periodic oscillations in sus-pension bridges: some new connections with nonlinear analysis / SIAM Review 32 : 537 ~ 578
A. C. Lazer / 1994 / Global bifurcation and a theorem of Tarantello / J. Math. Anal. Appl 181 : 648 ~ 655
A. M. Micheletti / 1998 / Multiplicity results for a fourth-order semilinear elliptic problem / Nonlinear Analysis TMA 31 : 895 ~ 908
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