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On mixed Dirichlet-Neumann eigenvalues of triangles

On mixed Dirichlet-Neumann eigenvalues of triangles

We order the lowest mixed Dirichlet-Neumann eigenvalues of right triangles according to which sides we apply the Dirichlet conditions. It is generally true that the Dirichlet condition on a superset leads to larger eigenvalues, but it is nontrivial to compare e.g. the mixed cases on triangles with just one Dirichlet …