I'm a newbie and may be this question is bit simple for you but pardon me if it's too simple.
- Can some one tell me some reference to study about the invertibility of Divergence operator $\operatorname{div}\colon C^1(\omega)\to G$ where $G$ is a space of real valued function and $\omega$ is a subset of $\Bbb R^2$. Here I assume a Dirichlet type condition on the boundary of $\omega$ is specified and all boundary and domain have nice smoothness.
- In above context can someone give me some reference on the Null space structure of the divergence operator operating on differentiable maps defined on $\Bbb R^2$ ?
Ariwn