Abstract
We study semilinear elliptic equations with the fractional Laplacian in $\mathbf{R}$. 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.
Acknowledgment
The author would like to thank Professor Masahito Ohta, Dr. Noriyoshi Fukaya, and Dr. Yoshinori Nishii for their support and helpful discussions for this study.
Citation
Kaito Kokubu. "On solitary wave solutions to dispersive equations with double power nonlinearities." Kodai Math. J. 47 (3) 301 - 322, October 2024. https://doi.org/10.2996/kmj47303
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