The magnetic D-to-N ground state energy obeys λ = α̂ b^{1/2} − α̂² + (1/3) max κ + o(1) in 2D, with a 3D limit given by the boundary infimum of λ^DN(ϑ(x)) |B(x)|^{1/2}.
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Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains
The magnetic D-to-N ground state energy obeys λ = α̂ b^{1/2} − α̂² + (1/3) max κ + o(1) in 2D, with a 3D limit given by the boundary infimum of λ^DN(ϑ(x)) |B(x)|^{1/2}.