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| On a Class of Discrete Problems with the $p(k)$-Laplacian-like Operators |
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| KeyWord:Critical point theory, discrete problems, variational methods, $p(k)$-Laplacian-like operators |
| Author Name | Affiliation | | Mohammed Barghouthe | Department of Mathematics, Mohammed I University, Oujda, 60000, Morocco | | Mahmoud El Ahmadi | Department of Mathematics, Mohammed I University, Oujda, 60000, Morocco | | Abdesslem Ayoujil | Department of Mathematics, Regional Centre of Trades Education and Training, Oujda, 60000, Morocco | | Mohammed Berrajaa | Department of Mathematics, Mohammed I University, Oujda, 60000, Morocco |
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| Abstract: |
| In this paper, we consider a nonlinear discrete problem originating from a capillary phenomena, involving the $p(k)$-Laplacian-like operators with mixed boundary condition. Under appropriate assumptions on the function $f$ and its primitive $F$ near zero and infinity, we investigate the existence and multiplicity of nontrivial solutions by using variational methods and critical point theory. |
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