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Pré-Publication, Document De Travail Année : 2022

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

Résumé

In the present work we establish a quantization result for the angular part of the energy of solu- tions to elliptic linear systems of Schr\"odinger 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.

Dates et versions

hal-03869702 , version 1 (24-11-2022)

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Paul Laurain, Tristan Riviere. Angular Energy Quantization for Linear Elliptic Systems with Antisymmetric Potentials and Applications. 2022. ⟨hal-03869702⟩
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