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Symmetric solutions for a 2D critical Dirac equation

William Borrelli

Centro De Giorgi, Scuola Normale Superiore, Piazza dei Cavalieri 3, I-56100, Pisa, Italy

https://doi.org/10.1142/S021919972150019XCited by:3 (Source: Crossref)

Abstract

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 also prove smoothness and exponential decay at infinity.

Keywords:

AMSC: 35Q40, 35B33, 35A15

References

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