论文标题

2D关键dirac方程的对称解决方案

Symmetric solutions for a 2D critical Dirac equation

论文作者

Borrelli, William

论文摘要

在本文中,我们显示了在二维中无限的许多对称解,可以在与蜂蜜结构相关的系统中看起来像是有效模型。这种方程对于Sobolev嵌入至关重要,并且通过变异方法发现溶液。此外,我们也证明了无穷大的光滑度和指数衰减。

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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