Geodesic
On the Existence and the Classification of Critical Points for Non-Smooth Functionals
Canadian journal of mathematics, Tome 47 (1995) no. 4, pp. 684-717

Voir la notice de l'article provenant de la source Cambridge University Press

We extend the min-max methods used in the critical point theory of differentiable functionals on smooth manifolds to the case of continuous functionals on a complete metric space. We study the topological properties of the min-max generated critical points in this new setting by adopting the methodology developed by Ghoussoub in the smooth case. Many old and new results are extended and unified and some applications are given.
DOI : 10.4153/CJM-1995-036-9
Mots-clés : 58E05, 49F15 
Fang, G. On the Existence and the Classification of Critical Points for Non-Smooth Functionals. Canadian journal of mathematics, Tome 47 (1995) no. 4, pp. 684-717. doi: 10.4153/CJM-1995-036-9
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