Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu
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.
Submitted September 29, 2014. Published April 16, 2015.
Math Subject Classifications: 34B15, 34B18, 34C25.
Key Words: Nonhomogeneous differential operator; positive solution;
local minimizer; nonlinear maximum principle; mountain pass theorem;
bifurcation.
Show me the PDF file (287 KB), TEX file, and other files for this article.
 |
Sergiu Aizicovici Department of Mathematics, Ohio University Athens, OH 45701, USA email: aizicovs@ohio.edu |
|---|---|
| Nikolaos S. Papageorgiou Department of Mathematics National Technical University Zografou Campus, Athens 15780, Greece email: npapg@math.ntua.gr | |
 |
Vasile Staicu Department of Mathematics CIDMA, University of Aveiro Campus Universitário de Santiago 3810-193 Aveiro, Portugal email: vasile@ua.pt |
Return to the EJDE web page