Geodesic
Positive solutions for parametric nonlinear periodic problems with competing nonlinearities
Electronic journal of differential equations, Tome 2015 (2015)
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.
Classification : 34B15, 34B18, 34C25
Keywords: nonhomogeneous differential operator, positive solution, local minimizer, nonlinear maximum principle, mountain pass theorem, bifurcation 
@article{EJDE_2015__2015__a88,
     author = {Aizicovici,  Sergiu and Papageorgiou,  Nikolaos S. and Staicu,  Vasile},
     title = {Positive solutions for parametric nonlinear periodic problems with competing nonlinearities},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1318.34037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a88/}
}
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AU  - Staicu,  Vasile
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%A Staicu,  Vasile
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Aizicovici,  Sergiu; Papageorgiou,  Nikolaos S.; Staicu,  Vasile. Positive solutions for parametric nonlinear periodic problems with competing nonlinearities. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a88/