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Symmetric solutions for a 2D critical Dirac equation

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 Added by William Borrelli
 Publication date 2020
  fields Physics
and research's language is English




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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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