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Angular energy quantization for linear elliptic systems with antisymmetric potentials and applications

Angular energy quantization for linear elliptic systems with antisymmetric potentials and applications

We establish a quantization result for the angular part of the energy of solutions to elliptic linear systems of Schrödinger type with antisymmetric potentials in two dimensions.This quantization is a consequence of uniform Lorentz-Wente type estimates in degenerating annuli.Moreover this result is optimal in the sense that we exhibit a …