On étudie lʼexistence de solutions multiples à symétrie cylindrique pour une classe de problèmes elliptiques non autonomes de Neumann sans compacité. La preuve combine un résultat récent de compacité et le principe de Palais de symétrique critique. Une application met en évidence le résultat principal de cette Note.
The existence of multiple cylindrically symmetric solutions for a class of non-autonomous elliptic Neumann problems in a strip-like domain of the Euclidean space is investigated. The proof combines a recent compactness result and the Palais symmetric critically principle. A concrete application illustrates the main abstract result of this Note.
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@article{CRMATH_2013__351_1-2_37_0, author = {Molica Bisci, Giovanni and R\u{a}dulescu, Vicen\c{t}iu}, title = {Multiple symmetric solutions for a {Neumann} problem with lack of compactness}, journal = {Comptes Rendus. Math\'ematique}, pages = {37--42}, publisher = {Elsevier}, volume = {351}, number = {1-2}, year = {2013}, doi = {10.1016/j.crma.2012.12.001}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2012.12.001/} }
TY - JOUR AU - Molica Bisci, Giovanni AU - Rădulescu, Vicenţiu TI - Multiple symmetric solutions for a Neumann problem with lack of compactness JO - Comptes Rendus. Mathématique PY - 2013 SP - 37 EP - 42 VL - 351 IS - 1-2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2012.12.001/ DO - 10.1016/j.crma.2012.12.001 LA - en ID - CRMATH_2013__351_1-2_37_0 ER -
%0 Journal Article %A Molica Bisci, Giovanni %A Rădulescu, Vicenţiu %T Multiple symmetric solutions for a Neumann problem with lack of compactness %J Comptes Rendus. Mathématique %D 2013 %P 37-42 %V 351 %N 1-2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2012.12.001/ %R 10.1016/j.crma.2012.12.001 %G en %F CRMATH_2013__351_1-2_37_0
Molica Bisci, Giovanni; Rădulescu, Vicenţiu. Multiple symmetric solutions for a Neumann problem with lack of compactness. Comptes Rendus. Mathématique, Tome 351 (2013) no. 1-2, pp. 37-42. doi : 10.1016/j.crma.2012.12.001. http://archive.numdam.org/articles/10.1016/j.crma.2012.12.001/
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