Critical chirality in elliptic systems
Da Lio, Francesca1 ; Rivière, Tristan1
1 Department of Mathematics, ETH Zentrum, CH-8093 Zürich, Switzerland
Annales de l'I.H.P. Analyse non linéaire, septembre – octobre 2021, Tome 38 (2021) no. 5, pp. 1373-1405.
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We establish the regularity in 2 dimension of L2 solutions to critical elliptic systems in divergence form involving chirality operators of finite W1,2-energy.

Reçu le :
Révisé le :
Accepté le :
DOI : 10.1016/j.anihpc.2020.11.006
Classification : 35J47, 35B65, 34L40, 20G20
Mots-clés : Second order elliptic systems, Regularity, Integrability by compensation, Dirac operator, Quaternion algebra
Da Lio, Francesca 1 ; Rivière, Tristan 1

1 Department of Mathematics, ETH Zentrum, CH-8093 Zürich, Switzerland 
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Da Lio, Francesca; Rivière, Tristan. Critical chirality in elliptic systems. Annales de l'I.H.P. Analyse non linéaire, septembre – octobre 2021, Tome 38 (2021) no. 5, pp. 1373-1405. doi : 10.1016/j.anihpc.2020.11.006. http://archive.numdam.org/articles/10.1016/j.anihpc.2020.11.006/

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