Divergence operator and Poincare inequalities on arbitrary bounded domains

Ricardo Duran, Maria-Amelia Muschietti, Emmanuel Russ +1

Let $\Omega$ be an arbitrary bounded domain of ${\mathbb{R}}^n$. We study the right invertibility of the divergence on $\Omega$ in weighted Lebesgue and Sobolev spaces on $\Omega$, and rely this invertibil…