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

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.

authors

• Zhou, Jianxin

published proceedings

• SIAM Journal on Scientific Computing

author list (cited authors)

• Yao, X., & Zhou, J.

citation count

• 27

complete list of authors

• Yao, Xudong||Zhou, Jianxin

publication date

• January 2005

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Scientific Computing  Journal

Digital Object Identifier (DOI)

• 10.1137/s1064827503430503

URI

• https://hdl.handle.net/1969.1/180690

start page

• 1796

end page

• 1809

volume

• 26

issue

• 5