Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840876 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 14 Pages |
Abstract
In this work we analyze the interaction between the Hardy potential and a lower order term to obtain the existence or nonexistence of a positive solution in elliptic problems whose model is {−Δpu=g(u)|∇u|p+λup−1|x|p+f,in Ω,u>0,in Ω,u=0,on ∂Ω, where Ω⊂RNΩ⊂RN, N⩾3N⩾3, is a bounded domain containing the origin, 1
0λ>0, the behavior of the positive continuous function gg at infinity provides the existence of a solution for such a problem.
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Authors
Tommaso Leonori, Pedro J. Martínez-Aparicio, Ana Primo,