Existence of solution for a class of variational inequality in whole ${\mathbb{R}}^N$ with critical growth: The local Mountain pass case

Claudianor O. Alves, Luciano M. Barros, César E. Torres Ledesma

In this paper we study the existence of solution for a class of variational inequality in whole ${\mathbb{R}}^N$ where the nonlinearity has a critical growth for $N\ge 2$. By combi…