【文件属性】:
文件名称:Uniqueness of the Positive Radial Solution on an Annulus
文件大小:197KB
文件格式:PDF
更新时间:2022-05-25 14:06:55
论文
The purpose of this note is to prove uniqueness of the positive radial
solution to the Dirichlet problem for
2u& u+ u3=0, (1.1)
on the annulus 0= [x # R3 : R1 <| x|< R2] where 0< R1 < R2 ; (the
Dirichlet condition at R
2= is interpreted, as usual, to mean that the
solution belongs to L2(0)). In [2], uniqueness on a ball and uniqueness to
within translation on R3 were proved for the positive radial solution of the
Dirichlet problem for this equation.