Dans cette Note, nous étudions le problème elliptique paramétrique de Robin pour un opérateur différentiel non homogène et avec une réaction qui présente des termes concurrents (du type concave–convexe). Sans utiliser la condition d'Ambrosetti–Rabinowitz, nous prouvons un théorème de bifurcation pour de petites valeurs positives du paramètre réel.
In this Note, we deal with the Robin parametric elliptic equation driven by a nonhomogeneous differential operator and with a reaction that exhibits competing terms (concave–convex nonlinearities). Without employing the Ambrosetti–Rabinowitz condition, we prove a bifurcation theorem for small positive values of the real parameter.
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Nikolaos S. Papageorgiou 1 ; Vicenţiu D. Rădulescu 2
@article{CRMATH_2014__352_7-8_627_0, author = {Nikolaos S. Papageorgiou and Vicen\c{t}iu D. R\u{a}dulescu}, title = {Bifurcation near the origin for the {Robin} problem with concave{\textendash}convex nonlinearities}, journal = {Comptes Rendus. Math\'ematique}, pages = {627--632}, publisher = {Elsevier}, volume = {352}, number = {7-8}, year = {2014}, doi = {10.1016/j.crma.2014.05.007}, language = {en}, }
TY - JOUR AU - Nikolaos S. Papageorgiou AU - Vicenţiu D. Rădulescu TI - Bifurcation near the origin for the Robin problem with concave–convex nonlinearities JO - Comptes Rendus. Mathématique PY - 2014 SP - 627 EP - 632 VL - 352 IS - 7-8 PB - Elsevier DO - 10.1016/j.crma.2014.05.007 LA - en ID - CRMATH_2014__352_7-8_627_0 ER -
%0 Journal Article %A Nikolaos S. Papageorgiou %A Vicenţiu D. Rădulescu %T Bifurcation near the origin for the Robin problem with concave–convex nonlinearities %J Comptes Rendus. Mathématique %D 2014 %P 627-632 %V 352 %N 7-8 %I Elsevier %R 10.1016/j.crma.2014.05.007 %G en %F CRMATH_2014__352_7-8_627_0
Nikolaos S. Papageorgiou; Vicenţiu D. Rădulescu. Bifurcation near the origin for the Robin problem with concave–convex nonlinearities. Comptes Rendus. Mathématique, Volume 352 (2014) no. 7-8, pp. 627-632. doi : 10.1016/j.crma.2014.05.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.05.007/
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