Existence and Nonexistence Breaking Results For a Weighted Elliptic Problem in Half-Space

J. M. Do Ó, R. F. Freire, J. Giacomoni +1

In this paper we study the problem $-\mathrm{div}(\rho (x_N)\nabla u)=a|u{|}^{p-2}u$ in ${\mathbb{R}}_{+}^N$, $-\partial u/\partial x_N=b|u{|}^{q-2}u$ in ${\mathbb{R}}^{N-1}$ where $a,b \in \mat…