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

• Autorzy: Lin Li , Shapour Heidarkhani
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel\cprime man) theory, etc.)
• 35J35: Variational methods for higher-order elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 104
• Numer: 1
• Strony: 71-80

Daty

wydano

2012

Twórcy

autor

Lin Li

• Department of Science, Sichuan University of Science and Engineering, 643000 Zigong, P.R. China

autor

Shapour Heidarkhani

• Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran

Identyfikatory

DOI

10.4064/ap104-1-5