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Mountain pass solutions for a system of differential equations with Dirichlet boundary condition |
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| Authors: | Yu Tian Weigao Ge |
| Affiliation: | 1. School of Science , Beijing University of Posts and Telecommunications , Beijing 100876, P.R. China tianyu2992@163.com;3. Department of Applied Mathematics , Beijing Institute of Technology , Beijing 100081, P.R. China |
| Abstract: | In this article, the Dirichlet problem for a class of quasilinear differential equation systems is studied. Existence results are given by combining the dual least action principle and mountain pass theorem. |
| Keywords: | Mountain Pass Theorem Quasilinear Dirichlet boundary condition The dual least action principle |