In this paper, we consider a class of nonlocal equations where the convolution kernel is given by a Bessel potential symbol of order α for α>1. Based on the properties of the convolution operator, we apply a global bifurcation technique to show the existence of a highest, even, 2π-periodic traveling-wave solution. The regularity of this wave is proved to be exactly Lipschitz.

中文翻译：

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一类带非均匀符号的非局部方程的最大高度波

在本文中，我们考虑一类非局部方程，其中对于α> 1，卷积核由阶数为α的贝塞尔势能符号给出。基于卷积算子的性质，我们应用全局分叉技术来显示存在最高，均匀的2π周期行波解。事实证明，这一波的规律性恰好是Lipschitz。