POSITIVE SOLUTIONS FOR PARAMETRIC NONLINEAR PERIODIC PROBLEMS WITH COMPETING NONLINEARITIES

被引：0

作者：

Aizicovici, Sergiu ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

Staicu, Vasile ^{[3
]}

机构：

[1] Ohio Univ, Dept Math, Athens, OH 45701 USA

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

[3] Univ Aveiro, CIDMA, Dept Math, P-3810193 Aveiro, Portugal

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

关键词：

Nonhomogeneous differential operator; positive solution; local minimizer; nonlinear maximum principle; mountain pass theorem; bifurcation; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：18

共 16 条

[1]

Aizicovici S., 2012, ANN U BUCH MATH 3, V3, P129

[2] NODAL AND MULTIPLE SOLUTIONS FOR NONLINEAR PERIODIC PROBLEMS WITH COMPETING NONLINEARITIES [J].