Mathematics – Classical Analysis and ODEs
Scientific paper
2004-10-12
Mathematics
Classical Analysis and ODEs
10 pages, 1 figure
Scientific paper
We propose a constructive proof for the Ambrosetti-Rabinowitz Mountain Pass Theorem providing an algorithm, based on a bisection method, for its implementation. The efficiency of our algorithm, particularly suitable for problems in high dimensions, consists in the low number of flow lines to be computed for its convergence; for this reason it improves the one currently used and proposed by Y.S. Choi and P.J. McKenna.
Barutello Vivina
Terracini Susanna
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