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|Title:||Positive solutions for parametric nonlinear periodic problems with competing nonlinearities|
Papageorgiou, N. S.
|Keywords:||Nonhomogeneous differential operator|
Nonlinear maximum principle
Mountain pass theorem
|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.|
|Appears in Collections:||CIDMA - Artigos|
FAAG - Artigos
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|P62_EJDE_2015(2015)_1-18.pdf||Main article||280.45 kB||Adobe PDF||View/Open|
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