Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions. The methods for existence rely on a Ricceri-local minimum theorem for differentiable functionals. Several examples are included to illustrate the main results.
@article{bwmeta1.element.doi-10_1515_math-2017-0090,
author = {Mohsen Khaleghi Moghadam and Johnny Henderson},
title = {Triple solutions for a Dirichlet boundary value problem involving a perturbed discretep(k)-Laplacian operator},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1075-1089},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0090}
}
Mohsen Khaleghi Moghadam; Johnny Henderson. Triple solutions for a Dirichlet boundary value problem involving a perturbed discretep(k)-Laplacian operator. Open Mathematics, Tome 15 (2017) pp. 1075-1089. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0090/