Strauss' and Lions' type results in $BV({\mathbb{R}}^N)$ with an application to $1-$Laplacian problem

G. M. Figueiredo, M. T. O. Pimenta

In this work we state and prove versions of some classical results, in the framework of functionals defined in the space of functions of bounded variation in ${\mathbb{R}}^N$. More p…