Weak solutions for anisotropic discrete boundary value problems |
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| Authors: | Blaise Kone |
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| Institution: | Laboratoire d'Analyse Mathématique des Equations (LAME) , Institut Burkinabé des Arts et Métiers, Université de Ouagadougou , 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso |
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| Abstract: | In this paper, we prove the existence and uniqueness of weak solutions for a family of discrete boundary value problems for data f which belong to a discrete Hilbert space H. Moreover, as an extension, we prove some existence results of weak solutions for more general data f depending on the solution. |
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| Keywords: | discrete boundary value problem critical point weak solution |
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