A high-linking algorithm for sign-changing solutions of semilinear elliptic equations Academic Article uri icon


  • A numerical method is presented for finding sign-changing solutions of the semilinear elliptic equation subject to Dirichlet boundary condition: -w = f(x,w) in , w = 0 on , where RN is a bounded domain with regular boundary . The operator - 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.

published proceedings


author list (cited authors)

  • Ding, Z. H., Costa, D., & Chen, G.

citation count

  • 65

complete list of authors

  • Ding, ZH||Costa, D||Chen, G

publication date

  • October 1999