Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899974 | Journal of Mathematical Analysis and Applications | 2018 | 16 Pages |
Abstract
Let Ω:=(a,b)âR, mâL1(Ω) and λ>0 be a real parameter. Let L be the differential operator given by Lu:=âÏ(uâ²)â²+r(x)Ï(u), where Ï:RâR is an odd increasing homeomorphism and 0â¤râL1(Ω). We study the existence of positive solutions for problems of the form{Lu=λm(x)f(u)in Ω,u=0on âΩ, where f:[0,â)â[0,â) is a continuous function which is, roughly speaking, sublinear with respect to Ï. Our approach combines the sub and supersolution method with some estimates on related nonlinear problems. We point out that our results are new even in the cases râ¡0 and/or mâ¥0.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Uriel Kaufmann, Leandro Milne,