Uniqueness of the Positive Solution of U + F (u) = 0 in an Annulus
نویسندگان
چکیده
We give here an extension of the recent result of Kwong (which in turn extended earlier results of Cooman and McLeod and Serrin) on the uniqueness of the positive radial solution of a semilinear elliptic equation. When reduced to the special case considered by Kwong, our proof is shorter.
منابع مشابه
Uniqueness of positive solutions to a class of semilinear elliptic equations
* Correspondence: [email protected] Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, PR China Abstract In this article, we consider the uniqueness of positive radial solutions to the Dirichlet boundary value problem u + f (|x|, u) + g(|x|)x · ∇u = 0, x ∈ , u = 0, x ∈ ∂ , where Ω denotes an annulus in R (n ≥ 3). The uniqueness criterion is established by applyi...
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