Wang, Haiyan On the existence of positive solutions for semilinear elliptic equations in the annulus. (English) Zbl 0798.34030 J. Differ. Equations 109, No. 1, 1-7 (1994). 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 \(\infty\). Reviewer: P.Drábek (Plzeň) Cited in 3 ReviewsCited in 143 Documents MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations 35J15 Second-order elliptic equations Keywords:semilinear elliptic; equations in an annulus; positive radial solutions PDFBibTeX XMLCite \textit{H. Wang}, J. Differ. Equations 109, No. 1, 1--7 (1994; Zbl 0798.34030) Full Text: DOI