Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707679 | Applied Mathematics Letters | 2015 | 6 Pages |
Abstract
In this paper, we report on some recent results obtained in our joint paper Papageorgiou and Rădulescu (2015). We consider a Robin problem driven by a nonhomogeneous differential operator and with a reaction that exhibits competing effects of concave (that is, sublinear) and convex (that is, superlinear) nonlinearities. Without employing the Ambrosetti–Rabinowitz condition, we establish a bifurcation property of the positive solutions near the origin. The approach relies on variational methods and elliptic estimates.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu,