학술저널
TWO JUMPING NONLINEAR TERMS AND A NONLINEAR WAVE EQUATION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 4
-
2009.12675 - 687 (13 pages)
- 0
We ¯nd the multiple nontrivial solutions of the equa-tion of the form utt ¡uxx = b1[(u+1)+ ¡1]+b2[(u+2)+ ¡2] with Dirichlet boundary condition. Here we reduce this problem into a two-dimensional problem by using variational reduction method and apply the Mountain Pass theorem to ¯nd the nontrivial solu-tions.
1. Introduction
2. Preliminaries
3. Mountain Pass Theorem
4. Multiple nontrivial solutions
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