A right inverse of curl operator which is divergence free invariant and some applications to generalized Vekua type problems

Briceyda B. Delgado, Jorge E. Macías-Díaz

In this work, we investigate the system formed by the equations $\text{div }\vec{w}=g_0$ and $\text{curl }\vec{w}=\vec{g}$ in bounded star-shaped domains of ${\mathbb{R}}^3$. A Helmho…