Hyers-Ulam-Rassias stability of coupled elliptic System

We introduce a novel approach, termed the method of upper and lowersolutions, to investigate the Hyers-Ulam-Rassias stability of elliptic systems representedby:−∆u = F (x, u, v) in Ω,−∆v = G(x, u, v) in Ω,subject to homogeneous Dirichlet boundary conditions. Here, Ω denotes a boundeddomain in Rn, and ∆u represents the Laplacian operator.

کلیدواژه ها:

stability ، elliptic Equations ، upper and lower solutions