Unexpected phenomena in a one dimensional elliptic equation with a singular first order divergence term

Daniela Giachetti, Pedro J. Martínez-Aparicio, François Murat +1

We study existence of a weak solution for one-dimensional problems as \begin{equation}\label{intro}\tag{1} \begin{cases} \displaystyle -\frac{d}{dx}\left(a(x) \frac{d u}{dx}\right)…