Étant donné un espace de Hilbert , Λ un intervalle de et dont le gradient est une application compacte, nous considérons une famille de fonctionelle de la forme :
Given a Hilbert space , Λ an interval of and whose gradient is a compact mapping, we consider a family of functionals of the type:
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@article{CRMATH_2005__341_5_287_0, author = {Lucia, Marcello}, title = {A mountain pass theorem without {Palais{\textendash}Smale} condition}, journal = {Comptes Rendus. Math\'ematique}, pages = {287--291}, publisher = {Elsevier}, volume = {341}, number = {5}, year = {2005}, doi = {10.1016/j.crma.2005.07.022}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2005.07.022/} }
TY - JOUR AU - Lucia, Marcello TI - A mountain pass theorem without Palais–Smale condition JO - Comptes Rendus. Mathématique PY - 2005 SP - 287 EP - 291 VL - 341 IS - 5 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2005.07.022/ DO - 10.1016/j.crma.2005.07.022 LA - en ID - CRMATH_2005__341_5_287_0 ER -
%0 Journal Article %A Lucia, Marcello %T A mountain pass theorem without Palais–Smale condition %J Comptes Rendus. Mathématique %D 2005 %P 287-291 %V 341 %N 5 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2005.07.022/ %R 10.1016/j.crma.2005.07.022 %G en %F CRMATH_2005__341_5_287_0
Lucia, Marcello. A mountain pass theorem without Palais–Smale condition. Comptes Rendus. Mathématique, Tome 341 (2005) no. 5, pp. 287-291. doi : 10.1016/j.crma.2005.07.022. http://archive.numdam.org/articles/10.1016/j.crma.2005.07.022/
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