Uniqueness of positive radial solutions to singular critical growth quasilinear elliptic equations (Q2790813)

In this article the authors study problems NEWLINENEWLINE\[NEWLINE -\Delta_p u -\frac{\mu}{|x|^p} |u|^{p-2} u = \frac{ |u|^{p^*(s)-2}u}{|x|^s} + \lambda |u|^{p -2}u \,\,\text{ in }\,\, B, \;\;\;u=0 \,\, \text{ on }\,\, \partial B,NEWLINE\]NEWLINE NEWLINEwhere \(B\) is an open ball in \(\mathbb{R}^N\) centered at the origin, and \(p^*(s) = \frac{(N-s)p}{N-p}\).NEWLINENEWLINEThere are given conditions on the ranges of the parameters in the equation for which the problem admits at most one radial solutions. Asymptotic estimates on the radial solutions at the origin are also given.