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

• Autorzy: Shapour Heidarkhani , Yu Tian , Chun-Lei Tang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35B38: Critical points
• 35G60: Boundary value problems for nonlinear higher-order systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 104
• Numer: 3
• Strony: 261-277

Daty

wydano

2012

Twórcy

autor

Shapour Heidarkhani

• Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran
• School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

autor

Yu Tian

• School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P.R. China

autor

Chun-Lei Tang

• School of Mathematics and Statistics, Southwest University, Chongqing 400715, P.R. China

Identyfikatory

DOI

10.4064/ap104-3-4