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: -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.

authors

• Chen, Goong

published proceedings

• NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

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

publisher

• Elsevier  Publisher

published in

• Nonlinear Analysis Theory Methods and Applications  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

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fs0362-546x%2898%2900086-8