학술저널
ON THE EXISTENCE OF THE THIRD SOLUTION OF THE NONLINEAR BIHARMONIC EQUATION WITH DIRICHLET BOUNDARY CONDITION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 1
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2007.0381 - 95 (15 pages)
- 0
We are concerned with the multiplicity of solutions of the nonlinear biharmonic equation with Dirichlet boundary con- dition, ¢2u + c¢u = g(u), in , where c 2 R and ¢2 denotes the biharmonic operator. We show that there exists at least three solutions of the above problem under the suitable condition of g(u).
1. Introduction
2. Linking scale theorem
3. Variational formulation
4. Proof of Theorem 1.1 and Theorem 1.2.
PROOF OF THEOREM 1.1. AND THEOREM 1.2.
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