Mountain Pass Algorithm Via Pohozaev Manifold

Abstract

The celebrated Mountain Pass Theorem of Ambrosetti and Rabinowitz [1] has been widely used in the past forty years for finding weak solutions of a semilinear elliptic problem as critical points of an associated functional, and solutions are found on the mini- max levels of the functional. A numerical approach of this theorem was first implemented by Choi and McKenna [2]. [...]