The third order spectrum of the p-biharmonic operator with weight

Khalil Ben Haddouch, Najib Tsouli, and Zakaria El Allali. "The third order spectrum of the p-biharmonic operator with weight." Applicationes Mathematicae 41.2-3 (2014): 247-255. <http://eudml.org/doc/280051>.

@article{KhalilBenHaddouch2014,
abstract = {We show that the spectrum of $Δ²_\{p\} u + 2β·∇(|Δu|^\{p-2\}Δu) + |β|²|Δu|^\{p-2\}Δu = αm|u|^\{p-2\}u$, where $β ∈ ℝ^\{N\}$, under Navier boundary conditions, contains at least one sequence of eigensurfaces.},
author = {Khalil Ben Haddouch, Najib Tsouli, Zakaria El Allali},
journal = {Applicationes Mathematicae},
keywords = {-biharmonic operator; nonlinear spectral theory; eigensurfaces},
language = {eng},
number = {2-3},
pages = {247-255},
title = {The third order spectrum of the p-biharmonic operator with weight},
url = {http://eudml.org/doc/280051},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Khalil Ben Haddouch
AU - Najib Tsouli
AU - Zakaria El Allali
TI - The third order spectrum of the p-biharmonic operator with weight
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 2-3
SP - 247
EP - 255
AB - We show that the spectrum of $Δ²_{p} u + 2β·∇(|Δu|^{p-2}Δu) + |β|²|Δu|^{p-2}Δu = αm|u|^{p-2}u$, where $β ∈ ℝ^{N}$, under Navier boundary conditions, contains at least one sequence of eigensurfaces.
LA - eng
KW - -biharmonic operator; nonlinear spectral theory; eigensurfaces
UR - http://eudml.org/doc/280051
ER -