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2. Steklov-Maxwell

    1. Steklov spectrum for the Lamé operator


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      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?

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          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.