Coupling local and nonlocal equations with Neumann boundary conditions
DOI:
https://doi.org/10.33044/revuma.3046Abstract
We introduce two different ways of coupling local and nonlocal equations with Neumann boundary conditions in such a way that the resulting model is naturally associated with an energy functional. For these two models we prove that there is a minimizer of the resulting energy that is unique modulo adding a constant.
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