Existence of multiple solutions for a class of -dimensional discrete boundary value problems.
Tan, Weiming, Zhou, Zhan (2010)
International Journal of Mathematics and Mathematical Sciences
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Tan, Weiming, Zhou, Zhan (2010)
International Journal of Mathematics and Mathematical Sciences
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Liu, Xi-Lan, Wu, Jian-Hua (2008)
Discrete Dynamics in Nature and Society
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Marek Galewski, Piotr Kowalski (2014)
Open Mathematics
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In this note we derive a type of a three critical point theorem which we further apply to investigate the multiplicity of solutions to discrete anisotropic problems with two parameters.
Zheng, Bo, Xiao, Huafeng, Shi, Haiping (2011)
Boundary Value Problems [electronic only]
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Huang, Shenghuai, Zhou, Zhan (2009)
Advances in Difference Equations [electronic only]
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Zheng, Bo (2010)
Discrete Dynamics in Nature and Society
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Chen, Peng, Fang, Hui (2007)
Advances in Difference Equations [electronic only]
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Zhang, Xiaosheng, Wang, Duo (2011)
Advances in Difference Equations [electronic only]
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Alexander Kratochvíl, Jindřich Nečas (1980)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Zheng, Bo, Xiao, Huafeng (2010)
International Journal of Mathematics and Mathematical Sciences
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Marek Galewski, Szymon Głąb (2012)
Open Mathematics
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Using Fan’s Min-Max Theorem we investigate existence of solutions and their dependence on parameters for some second order discrete boundary value problem. The approach is based on variational methods and solutions are obtained as saddle points to the relevant Euler action functional.
Candito, Pasquale, D'aguì, Giuseppina (2010)
Advances in Difference Equations [electronic only]
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