Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844197 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 9 Pages |
Abstract
This paper is concerned with the exact number of positive solutions for boundary value problems (|uâ²|pâ2uâ²)â²+λf(u)=0 and u(â1)=u(1)=0, where p>1 and λ>0 is a positive parameter. We consider the case in which the nonlinearity f changes sign from positive to negative on (0,â). For example, f(u)=uαâuβ where β>α>ââ.
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Authors
Jiangang Cheng, Yanfang Shao,