CrossRef Open Access 2013 1 sitasi

Multiple positive solutions for discrete p-Laplacian equations with potential term

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

Abstrak

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.

Penulis (3)

J

Jong-Ho Kim

J

Jea-Hyun Park

J

June-Yub Lee

Format Sitasi

Kim, J., Park, J., Lee, J. (2013). Multiple positive solutions for discrete p-Laplacian equations with potential term. https://doi.org/10.2298/aadm130612012k

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Informasi Jurnal
Tahun Terbit
2013
Bahasa
en
Total Sitasi
Sumber Database
CrossRef
DOI
10.2298/aadm130612012k
Akses
Open Access ✓