In this paper, we determine the different intervals of a positive parameters $\lambda$, for which we prove the existence and non existence of a non trivial solutions for the discrete problem (1.1). Our technical approach is based on the variational principle and the critical point theory.
Ousbika, M., El Allali, Z. (2021). A discrete problem involving the $p(k)-$ Laplacian operator with three variable exponents. International Journal of Nonlinear Analysis and Applications, 12(1), 521-532. doi: 10.22075/ijnaa.2021.4834
MLA
Mohamed Ousbika; Zakaria El Allali. "A discrete problem involving the $p(k)-$ Laplacian operator with three variable exponents". International Journal of Nonlinear Analysis and Applications, 12, 1, 2021, 521-532. doi: 10.22075/ijnaa.2021.4834
HARVARD
Ousbika, M., El Allali, Z. (2021). 'A discrete problem involving the $p(k)-$ Laplacian operator with three variable exponents', International Journal of Nonlinear Analysis and Applications, 12(1), pp. 521-532. doi: 10.22075/ijnaa.2021.4834
VANCOUVER
Ousbika, M., El Allali, Z. A discrete problem involving the $p(k)-$ Laplacian operator with three variable exponents. International Journal of Nonlinear Analysis and Applications, 2021; 12(1): 521-532. doi: 10.22075/ijnaa.2021.4834
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