It would be really helpful if someone could suggest me any reference (Books or Papers) where I would find worked-out examples of Elliptic Boundary value problems (especially Laplace equation) with non-Local Boundary conditions.

From, non-local , I imply boundary conditions which involve integral over one face of the domain. I do have access to a book by C.V.Pao titled Nonlinear Parabolic and Elliptic Equations but the treatment is devoid of examples and maybe demands much more pre-requisites.

I specifically aim to find worked-out examples which would help me in understanding the procedure of approaching such problems. For the type of situations, I aim to solve, one can get an idea from this question where the BC(s) $\bf{(3)}$ and $\bf{(4)}$ are of non-local type.


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