Existence of three solutions for a class of (p₁,...,pₙ)-biharmonic systems with Navier boundary conditions

Shapour Heidarkhani, Yu Tian, and Chun-Lei Tang. "Existence of three solutions for a class of (p₁,...,pₙ)-biharmonic systems with Navier boundary conditions." Annales Polonici Mathematici 104.3 (2012): 261-277. <http://eudml.org/doc/280337>.

@article{ShapourHeidarkhani2012,
abstract = {We establish the existence of at least three weak solutions for the (p1,…,pₙ)-biharmonic system ⎧$Δ(|Δu_\{i\}|^\{p−2\}Δu_\{i\}) = λF_\{u_\{i\}\}(x,u₁,…,uₙ)$ in Ω, ⎨ ⎩$u_\{i\} = Δu_\{i\} = 0$ on ∂Ω, for 1 ≤ i ≤ n. The proof is based on a recent three critical points theorem.},
author = {Shapour Heidarkhani, Yu Tian, Chun-Lei Tang},
journal = {Annales Polonici Mathematici},
keywords = {biharmonic system; Navier boundary conditions; three weak solutions; critical point theory},
language = {eng},
number = {3},
pages = {261-277},
title = {Existence of three solutions for a class of (p₁,...,pₙ)-biharmonic systems with Navier boundary conditions},
url = {http://eudml.org/doc/280337},
volume = {104},
year = {2012},
}

TY - JOUR
AU - Shapour Heidarkhani
AU - Yu Tian
AU - Chun-Lei Tang
TI - Existence of three solutions for a class of (p₁,...,pₙ)-biharmonic systems with Navier boundary conditions
JO - Annales Polonici Mathematici
PY - 2012
VL - 104
IS - 3
SP - 261
EP - 277
AB - We establish the existence of at least three weak solutions for the (p1,…,pₙ)-biharmonic system ⎧$Δ(|Δu_{i}|^{p−2}Δu_{i}) = λF_{u_{i}}(x,u₁,…,uₙ)$ in Ω, ⎨ ⎩$u_{i} = Δu_{i} = 0$ on ∂Ω, for 1 ≤ i ≤ n. The proof is based on a recent three critical points theorem.
LA - eng
KW - biharmonic system; Navier boundary conditions; three weak solutions; critical point theory
UR - http://eudml.org/doc/280337
ER -