Geodesic
Positive solutions for parametric nonlinear periodic problems with competing nonlinearities
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a88/}
}
TY  - JOUR
AU  - Aizicovici, Sergiu
AU  - Papageorgiou, Nikolaos S.
AU  - Staicu, Vasile
TI  - Positive solutions for parametric nonlinear periodic problems with competing nonlinearities
JO  - Electronic Journal of Differential Equations
PY  - 2015
VL  - 2015
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a88/
LA  - en
ID  - EJDE_2015__2015__a88
ER  - 
%0 Journal Article
%A Aizicovici, Sergiu
%A Papageorgiou, Nikolaos S.
%A Staicu, Vasile
%T Positive solutions for parametric nonlinear periodic problems with competing nonlinearities
%J Electronic Journal of Differential Equations
%D 2015
%V 2015
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a88/
%G en
%F EJDE_2015__2015__a88
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/