Existence results to a nonlinear p(k)-Laplacian difference equation |
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| Authors: | Mohsen Khaleghi Moghadam Mustafa Avci |
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| Affiliation: | 1. Department of Basic Science, Sari Agricultural Sciences and Natural Resources University, Sari, Iran.mohsen.khaleghi@rocketmail.com m.khaleghi@sanru.ac.ir;4. Faculty of Economics and Administrative Sciences, Batman University, Batman, Turkey. |
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| Abstract: | In the present paper, by using variational method, the existence of non-trivial solutions to an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary condition is investigated. The main technical tools applied here are the two local minimum theorems for differentiable functionals given by Bonanno. |
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| Keywords: | Discrete nonlinear boundary value problem non trivial solution variational methods critical point theory |
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