Existence of three solutions to a double eigenvalue problem for the p-biharmonic equation

Lin Li, and Shapour Heidarkhani. "Existence of three solutions to a double eigenvalue problem for the p-biharmonic equation." Annales Polonici Mathematici 104.1 (2012): 71-80. <http://eudml.org/doc/280859>.

@article{LinLi2012,
abstract = {Using a three critical points theorem and variational methods, we study the existence of at least three weak solutions of the Navier problem ⎧$Δ(|Δu|^\{p−2\}Δu) − div(|∇u|^\{p−2\}∇u) = λf(x,u) + μg(x,u)$ in Ω, ⎨ ⎩u = Δu = 0 on ∂Ω, where $Ω ⊂ ℝ^\{N\}$ (N ≥ 1) is a non-empty bounded open set with a sufficiently smooth boundary ∂Ω, λ > 0, μ > 0 and f,g: Ω × ℝ → ℝ are two L¹-Carathéodory functions.},
author = {Lin Li, Shapour Heidarkhani},
journal = {Annales Polonici Mathematici},
keywords = {three solutions; critical point; multiplicity results; Navier problem},
language = {eng},
number = {1},
pages = {71-80},
title = {Existence of three solutions to a double eigenvalue problem for the p-biharmonic equation},
url = {http://eudml.org/doc/280859},
volume = {104},
year = {2012},
}

TY - JOUR
AU - Lin Li
AU - Shapour Heidarkhani
TI - Existence of three solutions to a double eigenvalue problem for the p-biharmonic equation
JO - Annales Polonici Mathematici
PY - 2012
VL - 104
IS - 1
SP - 71
EP - 80
AB - Using a three critical points theorem and variational methods, we study the existence of at least three weak solutions of the Navier problem ⎧$Δ(|Δu|^{p−2}Δu) − div(|∇u|^{p−2}∇u) = λf(x,u) + μg(x,u)$ in Ω, ⎨ ⎩u = Δu = 0 on ∂Ω, where $Ω ⊂ ℝ^{N}$ (N ≥ 1) is a non-empty bounded open set with a sufficiently smooth boundary ∂Ω, λ > 0, μ > 0 and f,g: Ω × ℝ → ℝ are two L¹-Carathéodory functions.
LA - eng
KW - three solutions; critical point; multiplicity results; Navier problem
UR - http://eudml.org/doc/280859
ER -