Symmetric Solutions for a 2D Critical Dirac Equation

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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.
Original languageEnglish
Pages (from-to)N/A-N/A
JournalCommunications in Contemporary Mathematics
DOIs
Publication statusPublished - 2021

Keywords

  • critical Dirac equations

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