Existence of ground state solution for semilinear -Laplace equation

This paper explores the existence of ground state solutions for a class of semilinear Δα-Laplace equations −Δαu+V(x)u=f(x,u),x∈RN, where V∈C(RN,R) is a coercive potential, Δα is a strongly degenerate elliptic operator, f is a function with more general superlinear conditions or asymptomatic linear conditions.