Existence of Homoclinic Solutions for the Discrete p(k)-Laplacian Operator

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作者
Zakaria El Allali
Lingju Kong
Mohamed Ousbika
机构
[1] University Mohammed First,Team of Modeling and Scientific Computing, Department of Mathematics, Multidisciplinary Faculty of Nador
[2] University of Tennessee at Chattanooga,Department of Mathematics
关键词
Homoclinic solutions; Discrete ; (; )-Laplacien; Variational methods; 39A10; 37C20; 58E05;
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摘要
In this paper, we investigate the existence of nontrivial solutions for an anisotropic discrete nonlinear problem with a p(k)-Laplacian operator. The proof of our main result is based on a local minimum theorem for differentiable functionals due to Ricceri.
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