engleski

Some radial solutions of the equation Laplace(u)+K(|x|)u^p=0 in R^n

The present paper deals with the existence, behaviour and approximation of some positive radial solutions u(|x|) of the equation Laplace(u)+K(|x|)u^p=0 in R^n. The errors of the appproximations for solutions u and the first derivative u' are defined by the functions which can be sufficiently small for every |x|>1. The qualitative analysis theory and the topological retraction method are used.

radial solutions; behaviour of solutions; approximation of solutions

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