Hasil untuk "math.HO"

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CrossRef Open Access 2013
Multiple positive solutions for discrete p-Laplacian equations with potential term

Jong-Ho Kim, Jea-Hyun Park, June-Yub Lee

We study the existence of solutions to nonlinear discrete boundary value problems with the discrete p-Laplacian, potential, and nonlinear source terms. Using variational methods, we demonstrate that there exist at least two positive solutions. The existence strongly depends on the smallest positive eigenvalue of Dirichlet eigenvalue problems and the growth conditions of the source terms.

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