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arXiv · 2309.01304

On solitary wave solutions to dispersive equations with double power nonlinearities

Kaito Kokubu
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Abstract

We study semilinear elliptic equations with the fractional Laplacian in $\mathbb{R}$. The equations with single power nonlinearities have been observed by Weinstein(1987), Frank--Lenzmann(2013) and so on. We focus on the equations with double power nonlinearities and consider the existence of ground states.

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Kaito Kokubu. 2023-09-04. On solitary wave solutions to dispersive equations with double power nonlinearities. https://doi.org/10.2996/kmj47303

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