Trace and Hardy-Sobolev type inequalities and applications to a quasilinear elliptic problem in half-space

Loïc Constantin, Ranieri França Freire, Jacques Giacomoni

In the present paper we are dealing with the following quasilinear elliptic problem: \begin{equation*} \begin{cases} -\mathrm{div}(ρ(x_N) |\nabla u|^{p-2}\nabla u) =a|u|^{s-2}u &\…