Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/14983
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 Bifurcation |
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 |
URI: | http://hdl.handle.net/10773/14983 |
ISSN: | 1072-6691 |
Publisher Version: | http://ejde.math.txstate.edu/Volumes/2015/103/aizicovici.pdf |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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P62_EJDE_2015(2015)_1-18.pdf | Main article | 280.45 kB | Adobe PDF | View/Open |
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