Existence and classifiction of radial solutions of a nonlinear nonautonomous Dirichlet problem

Abstract

This paper generalizes a classification of solutions of a superlinear Dirichlet problem given in \cite{rouaki2} to a nonautonomous case. In \cite{rouaki1} the increasing of $f(t)$ was used to prove the classification and in \cite{rouaki2} the unicity of the solution of the \emph{Cauchy} problem was used. Here the classification appears as a consequence of the \emph{a priori} estimates. It results that existence classificarion remain true for a class of nonautonomous problems.