학술저널
MULTIPLE SOLUTIONS FOR THE NONLINEAR PARABOLIC PROBLEM
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 2
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2009.06251 - 259 (9 pages)
- 0
We investigate the multiple solutions for the nonlinear parabolic boundary value problem with jumping nonlinearity crossing two eigenvalues. We show the existence of at least four nontrivial periodic solutions for the parabolic boundary value problem. We restrict ourselves to the real Hilbert space and obtain this result by the geometry of the mapping.
1. Introduction
2. Parabolic problem on the Hilbert space H
3. Proof of Theorem 1.1 and Theorem 1.2
References
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