Three solutions for a nonlinear Neumann boundary value problem

Najib Tsouli, et al. "Three solutions for a nonlinear Neumann boundary value problem." Applicationes Mathematicae 41.2-3 (2014): 257-266. <http://eudml.org/doc/279873>.

@article{NajibTsouli2014,
abstract = {The aim of this paper is to establish the existence of at least three solutions for the nonlinear Neumann boundary-value problem involving the p(x)-Laplacian of the form $-Δ_\{p(x)\}u + a(x)|u^\{|p(x)-2\}u = μg(x,u)$ in Ω, $|∇u|^\{p(x)-2\} ∂u/∂ν = λf(x,u)$ on ∂Ω. Our technical approach is based on the three critical points theorem due to Ricceri.},
author = {Najib Tsouli, Omar Chakrone, Omar Darhouche, Mostafa Rahmani},
journal = {Applicationes Mathematicae},
keywords = {Ricceri's variational principle; -Laplacian; nonlinear Neumann boundary conditions; generalized Lebesgue-Sobolev spaces},
language = {eng},
number = {2-3},
pages = {257-266},
title = {Three solutions for a nonlinear Neumann boundary value problem},
url = {http://eudml.org/doc/279873},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Najib Tsouli
AU - Omar Chakrone
AU - Omar Darhouche
AU - Mostafa Rahmani
TI - Three solutions for a nonlinear Neumann boundary value problem
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 2-3
SP - 257
EP - 266
AB - The aim of this paper is to establish the existence of at least three solutions for the nonlinear Neumann boundary-value problem involving the p(x)-Laplacian of the form $-Δ_{p(x)}u + a(x)|u^{|p(x)-2}u = μg(x,u)$ in Ω, $|∇u|^{p(x)-2} ∂u/∂ν = λf(x,u)$ on ∂Ω. Our technical approach is based on the three critical points theorem due to Ricceri.
LA - eng
KW - Ricceri's variational principle; -Laplacian; nonlinear Neumann boundary conditions; generalized Lebesgue-Sobolev spaces
UR - http://eudml.org/doc/279873
ER -