Three solutions for a nonlinear Neumann boundary value problem

• Autorzy: Najib Tsouli , Omar Chakrone , Omar Darhouche , Mostafa Rahmani
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to establish the existence of at least three solutions for the nonlinear Neumann boundary-value problem involving the p(x)-Laplacian of the form
$-Δ_{p(x)}u + a(x)|u^{|p(x)-2}u = μg(x,u)$ in Ω,
$|∇u|^{p(x)-2} ∂u/∂ν = λf(x,u)$ on ∂Ω.
Our technical approach is based on the three critical points theorem due to Ricceri.

Kategorie tematyczne

• 35J20: Variational methods for second-order elliptic equations
• 35J66: Nonlinear boundary value problems for nonlinear elliptic equations
• 58E30: Variational principles

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2014
• Tom: 41
• Numer: 2-3
• Strony: 257-266

Daty

wydano

2014

Twórcy

autor

Najib Tsouli

• Department of Mathematics, University Mohamed I, P.O. Box 717, Oujda 60000, Morocco

autor

Omar Chakrone

• Department of Mathematics, University Mohamed I, P.O. Box 717, Oujda 60000, Morocco

autor

Omar Darhouche

• Department of Mathematics, University Mohamed I, P.O. Box 717, Oujda 60000, Morocco

autor

Mostafa Rahmani

• Department of Mathematics, University Mohamed I, P.O. Box 717, Oujda 60000, Morocco

Identyfikatory

DOI

10.4064/am41-2-13