Title | THE STUDY OF A WAVE EQUATION WITH JUMPING NONLINEARITY BY DUALITY FORMULATION |
Publication Type | Journal Article |
Year of Publication | 2005 |
Authors | Choi, Q-H |
Secondary Authors | Xu, H |
Secondary Title | Communications in Applied Analysis |
Volume | 9 |
Issue | 2 |
Start Page | 147 |
Pagination | 160 |
Date Published | 04/2005 |
Type of Work | scientific: mathematics |
ISSN | 1083–2564 |
AMS | 35B10, 35B38, 35L70 |
Abstract | We investigate the existence of nontrivial solutions of a nonlinear wave equation under Dirichlet boundary condition with jumping nonlinearity. We use the fact that the solutions of the equation coincide with the critical points of its corresponding dual functional. Here we apply the Mountain Pass Theorem to find the nontrivial solutions.
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URL | http://www.acadsol.eu/en/articles/9/2/1.pdf |
Short Title | The Study of a Wave Equation |
Refereed Designation | Refereed |
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