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On the existence of positive solutions for semilinear elliptic equations in the annulus. (English) Zbl 0798.34030

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)

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
35J15 Second-order elliptic equations
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