Calculus of Variations and Geometric Measure Theory
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W. Borrelli

Symmetric solutions for a 2D critical Dirac equation

created by borrelli on 12 Oct 2020


Submitted Paper

Inserted: 12 oct 2020
Last Updated: 12 oct 2020

Year: 2020

ArXiv: 2010.04630 PDF


In this paper we show the existence of infinitely many symmetric solutions for a cubic Dirac equation in two dimensions, which appears as effective model in systems related to honeycomb structures. Such equation is critical for the Sobolev embedding and solutions are found by variational methods. Moreover, we prove also prove smoothness and exponential decay at infinity.

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