Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841100 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 7 Pages |
Abstract
We consider a singular parametric elliptic equation driven by the pp-Laplacian and with a pp-superlinear potential which does not satisfy the Ambrosetti–Rabinowitz condition. Using variational arguments, combined with truncation techniques and the method of upper and lower solutions, we show that there exists a λ∗>0λ∗>0 such that if the parameter λλ is in (0,λ∗)(0,λ∗), then the problem has two ordered smooth positive strong solutions.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Sophia Th. Kyritsi, Nikolaos S. Papageorgiou,