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Title: Positive solutions for parametric nonlinear periodic problems with competing nonlinearities
Author: Aizicovici, S.
Papageorgiou, N. S.
Staicu, V.
Keywords: Nonhomogeneous differential operator
Positive solution
Local minimizer
Nonlinear maximum principle
Mountain pass theorem
Issue Date: 16-Apr-2015
Publisher: Texas State University, Department of Mathematics
Abstract: 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.
Peer review: yes
ISSN: 1072-6691
Publisher Version:
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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