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Critical point theory and an asymmetric beam equation with two jumping nonlinear terms

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초록

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.

Abstract

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.

참고문헌 (11)

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  8. A. M. Micheletti, "Multiplicity results for a fourth-order semilinear elliptic problem", Nonlinear Analysis TMA, 31, pp.895~908 (1998)
  9. A. M. Micheletti, "Nontrivial solutions for some fourth order semi-linear elliptic problems", Nonlinear Analysis, 34, pp.509~523 (1998)
  10. Paul H. Rabinobitz, "Minimax methods in critical point theory with applications to differential equations", emMathematical Science regional conference series, No.65 (1984), AMS
  11. G. Tarantello, "A note on a semilinear elliptic problem", Diff. Integ. Equations, 5(3), pp.561~565 (1992)

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