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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 12
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Original Articles

On the existence of solutions for discrete elliptic boundary value problems

Marek Galewski Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, Lodz 90–238, PolandCorrespondence[email protected]
&
Aleksandra Orpel Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, Lodz 90–238, Poland
Pages 1879-1891 | Received 09 Mar 2010, Accepted 31 May 2010, Published online: 21 Sep 2010

Citations (16)

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Read on this site (2)

Maisam Boroun & Shapour Heidarkhani. (2023) Variational Approaches to a Discrete Elliptic Problem with a Weight. Numerical Functional Analysis and Optimization 44:7, pages 724-742.
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Shapour Heidarkhani & Maurizio Imbesi. (2015) Multiple solutions for partial discrete Dirichlet problems depending on a real parameter. Journal of Difference Equations and Applications 21:2, pages 96-110.
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Articles from other publishers (14)

Feng Xiong, Wentao Huang & Yonghui Xia. (2024) Positive solutions of partial discrete Kirchhoff type problems. Alexandria Engineering Journal 91, pages 503-509.
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Ahmad Ghobadi & Shapour Heidarkhani. (2024) Multiplicity results for discrete partial mean curvature problems. Computational and Applied Mathematics 43:1.
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Shaohong Wang & Zhan Zhou. (2022) Periodic solutions for a second-order partial difference equation. Journal of Applied Mathematics and Computing 69:1, pages 731-752.
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Huiting He, Mohamed Ousbika, Zakaria El Allali & Jiabin Zuo. (2023) Non-trivial solutions for a partial discrete Dirichlet nonlinear problem with $ p $-Laplacian. Communications in Analysis and Mechanics 15:4, pages 598-610.
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Shaohong Wang & Zhan Zhou. (2021) Three solutions for a partial discrete Dirichlet boundary value problem with p-Laplacian. Boundary Value Problems 2021:1.
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Shaohong Wang & Zhan Zhou. (2021) Three Solutions for a Partial Discrete Dirichlet Problem Involving the Mean Curvature Operator. Mathematics 9:14, pages 1691.
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Sijia Du & Zhan Zhou. (2021) On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator. Advances in Nonlinear Analysis 11:1, pages 198-211.
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Mohamed Ousbika, Zakaria El Allali & Lingju Kong. (2021) ON A DISCRETE ELLIPTIC PROBLEM WITH A WEIGHT. Journal of Applied Analysis & Computation 11:2, pages 728-740.
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Sijia Du & Zhan Zhou. (2020) Multiple Solutions for Partial Discrete Dirichlet Problems Involving the p-Laplacian. Mathematics 8:11, pages 2030.
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Fariba Gharehgazlouei & Shapour Heidarkhani. (2020) New existence criterion of infinitely many solutions for partial discrete Dirichlet problems. Tbilisi Mathematical Journal 13:3.
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Maurizio Imbesi & Giovanni Molica Bisci. (2014) Discrete Elliptic Dirichlet Problems and Nonlinear Algebraic Systems. Mediterranean Journal of Mathematics 13:1, pages 263-278.
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Giovanni Molica Bisci & Dušan Repovš. (2017) Algebraic Systems With Lipschitz Perturbations. Journal of Elliptic and Parabolic Equations 1:1, pages 189-199.
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Giovanni Molica Bisci & Du?an Repov?. (2014) Existence of solutions for p-Laplacian discrete equations. Applied Mathematics and Computation 242, pages 454-461.
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Giovanni Molica Bisci & Dušan Repovš. (2013) Nonlinear algebraic systems with discontinuous terms. Journal of Mathematical Analysis and Applications 398:2, pages 846-856.
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