Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024663 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 25 Pages |
Abstract
In this article we are interested in positive classical solutions of âÎu+a(x)â
âu+V(x)u=up+γuq  in RN, and âÎu+a(x)â
âu=up+γ|âu|q  in RN, in the case of Nâ¥4, p>N+1Nâ3 and γâR. We assume that V is a smooth nonnegative potential and a(x) is a smooth vector field, both of which satisfy natural decay assumptions. Under suitable assumptions on q we prove the existence of positive classical solutions.
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Authors
Shangbing Ai, Craig Cowan,