Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839808 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 9 Pages |
Abstract
We consider a parametric singular Dirichlet equation, with the singular term u−γu−γ appearing in the left-hand side. We establish the existence and nonexistence of positive solutions as the parameter λ>0λ>0 and the exponent γ>0γ>0 of the singularity vary. In particular, we show that for all λ>0λ>0 and all γ⩾1γ⩾1, the problem has no positive solution. Our approach combines truncation arguments with the method of upper and lower solutions.
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Authors
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu,