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.
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.
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Giovanni Molica Bisci 1; Vicenţiu Rădulescu 2, 3
@article{CRMATH_2013__351_1-2_37_0, author = {Giovanni Molica Bisci and Vicen\c{t}iu R\u{a}dulescu}, 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}, }
TY - JOUR AU - Giovanni Molica Bisci AU - Vicenţiu Rădulescu 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 DO - 10.1016/j.crma.2012.12.001 LA - en ID - CRMATH_2013__351_1-2_37_0 ER -
Giovanni Molica Bisci; Vicenţiu Rădulescu. Multiple symmetric solutions for a Neumann problem with lack of compactness. Comptes Rendus. Mathématique, Volume 351 (2013) no. 1-2, pp. 37-42. doi : 10.1016/j.crma.2012.12.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.12.001/
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