On the behavior of the ground state energy under weak perturbation of critical quasilinear operators in ${\mathbb{R}}^N$

Ujjal Das, Hynek Kovařík, Yehuda Pinchover

We consider a critical quasilinear operator $-{\Delta }_{p}u+V|u{|}^{p-2}u$ in ${\mathbb{R}}^N$ perturbed by a weakly coupled potential. For $N>p$, we find the leading asymptotic of the lowest…