Normalised solutions for $p$-Laplacian equations with $L^p$-supercritical growth

Raj Narayan Dhara, Matteo Rizzi

For $N\ge 3$ and $2<p<N$, we find normalised solutions to the equation \begin{align*} -Δ_p u+(1+V(x))|u|^{p-2}u+λu&=|u|^{q-2}u\qquad\text{in ${\mathbb{R}}^N$}\\ \|u\|_2&=ρ\end{align*…