On the existence of multiple positive radial solutions to elliptic equations in R_1,R_2

Abstract

This work is devoted to establish the existence of multiple positive radial solutions to the following equations
\begin{gather*}
\Delta{}\mathtt{u}-\frac{(\mathtt{N}-2)^2{\mathtt{r}_{1}}^{2\mathtt{N}-2}}{|\mathtt{y}|^{2\mathtt{N}-2}}
\mathtt{u}+\vartheta(|\mathtt{y}|)\mathtt{g}\big(|\mathtt{y}|,\mathtt{u}\big)=0,
\quad |\mathtt{y}|\in(\mathtt{R}_1,\mathtt{R}_2),
\end{gather*}
associated with certain boundary conditions. The Six Functionals Fixed Point Theorem serves as the basis for the technique. To illustrate the key findings, an application is given.