Positive solutions for parametric nonlinear periodic problems with competing nonlinearities

Autor: Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2015, Iss 103,, Pp 1-18 (2015)
Druh dokumentu: article
ISSN: 1072-6691
Popis: We consider a nonlinear periodic problem driven by a nonhomogeneous differential operator plus an indefinite potential and a reaction having the competing effects of concave and convex terms. For the superlinear (concave) term we do not employ the usual in such cases Ambrosetti-Rabinowitz condition. Using variational methods together with truncation, perturbation and comparison techniques, we prove a bifurcation-type theorem describing the set of positive solutions as the parameter varies.
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