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Eigenvalue in flux across boundary

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The geometry of my problem is a square inside a circle (of some fixed radius). I then have two functions u and v, where v satisfies laplacian(v)=v in the circular inclusion and u satisfies laplacian(u)=u in the complement of the square with respect to the circle. On the interface of the circular inclusion, I require the continuity condition u=v and the eigenvalue-transmission condition grad(u).n=lambda*grad(v).n.
For which eigenvalues lambda does this problem have non-trivial solutions?
I was not able to solve this in Comsol using the PDE Coefficient form->eigenvalue analysis. How do I tell Comsol to solve this?

Thank you,

1 Reply Last Post 14/11/2014, 23:07 GMT-5
COMSOL Moderator

Hello Santiago Fortes

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Posted: 5 years ago 14/11/2014, 23:07 GMT-5
Did you manage to solve this problem?
Did you manage to solve this problem?

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