논문KCI 등재
Nonlinear biharmonic problem with variable coefficient exponential growth term
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주제분류수학
초록
We consider the nonlinear biharmonic equation with coefficient exponential growth term and Dirichlet boundary condition. We show that the nonlinear equation has at least one bounded solution under the suitable conditions. We obtain this result by the variational method, generalized mountain pass theorem and the critical point theory of the associated functional.
Abstract
We consider the nonlinear biharmonic equation with coefficient exponential growth term and Dirichlet boundary condition. We show that the nonlinear equation has at least one bounded solution under the suitable conditions. We obtain this result by the variational method, generalized mountain pass theorem and the critical point theory of the associated functional.
참고문헌 (7)
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- Micheletti, A. M., "Multiplicity results for a fourth-order semi-linear elliptic problem", Nonlinear Anal., 31(7), pp.895~908 (1998)
- Rabinowitz and P. H., "Minimax methods in critical point theory with appli-cations to differential equations", CBMS. Regional conf. Ser. Math., 통권 : 65 (1986), Amer. Math. Soc.
- Tarantello, "A note on a semilinear elliptic problem", Differ. Integral. Equ. Appl., 5(3), pp.561~565 (1992)
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