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Radial solutions of the equation Laplace(u)+hF(u, |x|)exp(su)=0

In this paper we consider radial solutions u(|x|) of the equation Laplace(u)+hF(u, |x|)exp(su)=0, in R^n, where h>0 and s>0 or s=0 are parameters. The existence and approximation of one-parameter classes of solutions or at least one solution are established. The errors of the approximation for the solution u and u' are defined by the functions which can be sufficiently small.

elliptic equations; radial solutions; approximation of solutions

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