# Triple solutions for a Dirichlet boundary value problem involving a perturbed discretep(k)-Laplacian operator

Mohsen Khaleghi Moghadam; Johnny Henderson

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 1075-1089
- ISSN: 2391-5455

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topMohsen Khaleghi Moghadam, and Johnny Henderson. "Triple solutions for a Dirichlet boundary value problem involving a perturbed discretep(k)-Laplacian operator." Open Mathematics 15.1 (2017): 1075-1089. <http://eudml.org/doc/288334>.

@article{MohsenKhaleghiMoghadam2017,

abstract = {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.},

author = {Mohsen Khaleghi Moghadam, Johnny Henderson},

journal = {Open Mathematics},

keywords = {Discrete boundary value problem; p(k)-Laplacian; Three solutions; Variational methods; Critical point theory},

language = {eng},

number = {1},

pages = {1075-1089},

title = {Triple solutions for a Dirichlet boundary value problem involving a perturbed discretep(k)-Laplacian operator},

url = {http://eudml.org/doc/288334},

volume = {15},

year = {2017},

}

TY - JOUR

AU - Mohsen Khaleghi Moghadam

AU - Johnny Henderson

TI - Triple solutions for a Dirichlet boundary value problem involving a perturbed discretep(k)-Laplacian operator

JO - Open Mathematics

PY - 2017

VL - 15

IS - 1

SP - 1075

EP - 1089

AB - 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.

LA - eng

KW - Discrete boundary value problem; p(k)-Laplacian; Three solutions; Variational methods; Critical point theory

UR - http://eudml.org/doc/288334

ER -

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