A high-linking algorithm for sign-changing solutions of semilinear elliptic equations
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A numerical method is presented for finding sign-changing solutions of the semilinear elliptic equation subject to Dirichlet boundary condition: -Δw = f(x,w) in Ω, w = 0 on ∂Ω, where Ω⊂RN is a bounded domain with regular boundary ∂Ω. The operator -Δ can be replaced by a more general second-order uniformly elliptical operator in divergence form. Several numerical examples are presented to illustrate the high-linking algorithm.
author list (cited authors)
Ding, Z., Costa, D., & Chen, G.