Positive solutions for a discrete two point nonlinear boundary value problem with \(p\)-Laplacian. (English) Zbl 1352.39002
Summary: In the framework of variational methods, we use a two non-zero critical points theorem to obtain the existence of two positive solutions to Dirichlet boundary value problems for difference equations involving the discrete \(p\)-Laplacian operator.
MSC:
| 39A12 | Discrete version of topics in analysis |
| 39A22 | Growth, boundedness, comparison of solutions to difference equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
Keywords:
difference equations; discrete boundary value problems; positive solutions; two solutions; \(p\)-Laplacian; critical point theory; variational methodsReferences:
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