On an Ambrosetti-Prodi type problem in ${\mathbb{R}}^N$

Claudianor O. Alves, Romildo N. de Lima, Alânnio B. Nóbrega

In this paper we study results of existence and non-existence of solutions for the following Ambrosetti-Prodi type problem $$ \left\{ \begin{array}{lcl} -Δu=P(x)\Big( g(u)+f(x)\Big…