Virginie Bonnaillie-Noël, Søren Fournais, Ayman Kachmar, Nicolas Raymond
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Discrete spectrum of the magnetic Laplacian on perturbed half-planes
The existence of bound states for the magnetic Laplacian in unbounded domains can be quite challenging in the case of a homogeneous magnetic field. We provide an affirmative answer for almost flat corners and slightly curved half-planes when the total curvature of the boundary is positive.
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