An application of the Lyapunov-Schmidt method to semilinear elliptic problems
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In 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.
CitationNgo, Q. A. (2005). An application of the Lyapunov-Schmidt method to semilinear elliptic problems. Electronic Journal of Differential Equations, 2005(129), pp. 1-11.
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