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arXiv · 1109.3599

Angular Energy Quantization for Linear Elliptic Systems with Antisymmetric Potentials and Applications

Paul Laurain·Tristan Riviere
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Abstract

In the present work we establish a quantization result for the angular part of the energy of solu- tions to elliptic linear systems of Schrödinger type with antisymmetric potentials in two dimension. This quantization is a consequence of uniform Lorentz-Wente type estimates in degenerating annuli. We derive from this angular quantization the full energy quantization for general critical points to functionals which are conformally invariant or also for pseudo-holomorphic curves on degenerating Riemann surfaces.

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Paul Laurain, Tristan Riviere. 2011-09-16. Angular Energy Quantization for Linear Elliptic Systems with Antisymmetric Potentials and Applications. https://arxiv.org/abs/1109.3599

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