Radial symmetry and applications for a problem involving the $-{\Delta }_p(\cdot )$ operator and critical nonlinearity in~${\mathbb{R}}^N$

Lucio Damascelli, Susana Merchan, Luigi Montoro +1

We consider weak non-negative solutions to the critical $p$-Laplace equation in ${\mathbb{R}}^N$, $-{\Delta }_{p}u=u^{p^{\ast }-1}$ in the singular case $1<p<2$. We prove that if the nonlinearity…