engleski

Radial solutions of the equation Laplace(u)+hF(u, |x|)(1+pu^q)=0 in annular domains

The present paper deals with the existence, behaviour and approximation of certain positive radially symmetric solutions u(|x|) of the equation Laplace(u)+hF(u, |x|)(1+pu^q)=0 in annular domains. The existence and approximation of certain classes of solutions depending on two, one or zero parameters are established. The estemates of the approximation errors are determined.

eliptic equations; radial solutions; approximation of solutions

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