On the classification of positive supersolutions of elliptic systems involving the advection terms
https://doi.org/10.1016/j.jmaa.2019.06.009Publisher, magazine: ,
Publication year: 2019
Lưu Trích dẫn Chia sẻAbstract
In this paper, we establish some Liouville type theorems for positive classical supersolutions in the whole space RN of the elliptic equation −Δu+a⋅∇u=up and of the elliptic system {−Δu+a⋅∇u=vp−Δv+a⋅∇v=uq. Here, p,q∈R and a is a smooth vector field satisfying some growth condition at infinity.
Tags: second-order semilinear elliptic equations; Liouville-type theorems; positive supersolutions
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