TY: JOUR
T1 - Positive solutions for parametric nonlinear periodic problems with competing nonlinearities
A1 - Aizicovici, S.
A1 - Papageorgiou, N. S.
A1 - Staicu, V.
N2 - 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.
UR - https://ria.ua.pt/handle/10773/14983
Y1 - 2015
PB - Texas State University, Department of Mathematics