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

Abstract

top
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.

How to cite

top

Mohsen 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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.