
## 2. Steklov-Maxwell

1. ### Steklov spectrum for the Lamé operator

#### Problem 2.1.

[Michael Levitin] On a domain with corners, find the behaviour in $\kappa$ of the Steklov problem for the Lamé operator, $$\begin{cases}\Delta u + \kappa \nabla \operatorname{div} u = 0 \\ \sum_k c_{j_k} \frac{\partial u_k}{\partial x_j} = \lambda u_j \end{cases}$$
• ### What is the Steklov-Maxwell problem?

There is many different formulations for the Steklov-Maxwell problem. How are they related?

#### Problem 2.2.

[Nilima Nigam] Find the most natural formulation of the Steklov-Maxwell problem.

Cite this as: AimPL: Steklov eigenproblems, available at http://aimpl.org/stekloveigen.