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Bian, Li-Hua; Sun, Hong-Rui; Zhang, Quan-Guo

Solutions for discrete \(p\)-Laplacian periodic boundary value problems via critical point theory. (English) Zbl 1247.39004

J. Difference Equ. Appl. 18, No. 3, 345-355 (2012).
The authors study a class of discrete \(p\)-Laplacian periodic boundary value problems with a real parameter. By using critical point theory, they obtain some results for the existence of at least two positive solutions, three solutions and multiple pairs of solutions of the problems when the parameter satisfies some conditions.
Reviewer: Fengqin Zhang (Yuncheng)

Cited in 12 Documents

MSC:

39A12 Discrete version of topics in analysis
34B15 Nonlinear boundary value problems for ordinary differential equations
39A22 Growth, boundedness, comparison of solutions to difference equations

Keywords:

discrete periodic boundary value problem; \(p\)-Laplacian; critical point theory; positive solutions; multiple pairs of solutions
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\textit{L.-H. Bian} et al., J. Difference Equ. Appl. 18, No. 3, 345--355 (2012; Zbl 1247.39004)
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