Critical chirality in elliptic systems

Francesca Da Lio; Tristan Rivière

doi:10.1016/j.anihpc.2020.11.006

JournalsaihpcVol. 38, No. 5pp. 1373–1405

Critical chirality in elliptic systems

Francesca Da Lio
Department of Mathematics, ETH Zentrum, CH-8093 Zürich, Switzerland
Tristan Rivière
Department of Mathematics, ETH Zentrum, CH-8093 Zürich, Switzerland

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Abstract

We establish the regularity in 2 dimension of $L^{2}$ solutions to critical elliptic systems in divergence form involving chirality operators of finite $W^{1, 2}$ -energy.

Cite this article

Francesca Da Lio, Tristan Rivière, Critical chirality in elliptic systems. Ann. Inst. H. Poincaré Anal. Non Linéaire 38 (2021), no. 5, pp. 1373–1405

DOI 10.1016/J.ANIHPC.2020.11.006