A Minimax Method for Finding Multiple Critical Points in Banach Spaces and Its Application to Quasi-linear Elliptic PDE Academic Article uri icon

abstract

  • A minimax method for finding multiple critical points in Banach spaces is developed by using a modified pseudogradient. The method is implemented successfully to solve several quasi-linear elliptic boundary value problems for multiple solutions. Numerical solutions are presented by their profiles to illustrate the theory and method. A unified convergence result of the algorithm is established in a subsequent paper [X. Yao and J. Zhou, A Unified Convergence Result on a Minimax Method for Finding Multiple Critical Points in Banach Spaces, preprint]. © 2005 Society for Industrial and Applied Mathematics.

author list (cited authors)

  • Yao, X., & Zhou, J.

citation count

  • 26

complete list of authors

  • Yao, Xudong||Zhou, Jianxin

publication date

  • January 2005