Ngo, Quoc Anh2021-07-132021-07-132005-11-23Ngo, Q. A. (2005). An application of the Lyapunov-Schmidt method to semilinear elliptic problems. <i>Electronic Journal of Differential Equations, 2005</i>(129), pp. 1-11.1072-6691https://hdl.handle.net/10877/13854In this paper we consider the existence of nonzero solutions for the undecoupling elliptic system -Δu = λu + δv + ƒ(u, v), -Δv = θu + γv + g(u, v), on a bounded domain of ℝn, with zero Dirichlet boundary conditions. We use the Lyapunov-Schmidt method and the fixed-point principle.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalSemilinearElliptic systemLyapunovSchmidtFixed-point principleArticle