Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols

摘要

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