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

abstract

• 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.

authors

• Chen, Goong

author list (cited authors)

• Ding, Z., Costa, D., & Chen, G.

citation count

• 56

publication date

• October 1999

publisher

• Elsevier BV  Publisher

published in

• Nonlinear Analysis  Journal

keywords

• Finite Element Method
• High-linking Algorithm
• Mountain Pass Solution
• Semilinear Elliptic Equation
• Sign-changing Solution

Digital Object Identifier (DOI)

• 10.1016/s0362-546x(98)00086-8

start page

• 151

end page

• 172

volume

• 38

issue

• 2