A Berestycki-Lions type result for a class of degenerate elliptic problems involving the Grushin Operator

Claudianor O. Alves, Angelo R. F. de Holanda

In this work we study the existence of nontrivial solution for the following class of semilinear degenerate elliptic equations $$ -Δ_γ u + a(z)u = f(u) ~~ \mbox{in} ~~ \mathbb{R}^{…