On the existence of positive solutions for semilinear elliptic equations in the annulus
The existence of positive radial solutions of \(\Delta u + g (| x |) f(u)=0\) in annuli with Dirichlet (Dirichlet/Neumann) boundary conditions is proved. It is shown that the problem has positive radial solution on any annulus if \(f\) is sublinear at 0 and \(\infty\).
scientific article; zbMATH DE number 589979