Groundstate asymptotics for a class of singularly perturbed $p$-Laplacian problems in ${\mathbb{R}}^N$

Wedad Albalawi, Carlo Mercuri, Vitaly Moroz

We study the asymptotic behavior of positive groundstate solutions to the quasilinear elliptic equation \begin{equation} -Δ_{p} u + \varepsilon u^{p-1} - u^{q-1} +u^{\mathit{l}-1}…