Morse index, Leray-Schauder degree and local uniqueness for multi-peak concentrating solutions of a fractional Schrödinger equation

Yinbin Deng, Baiping Feng, Qing Guo +1

We study positive $k$-peak solutions of the semiclassical fractional Schrödinger equation ${\epsilon }^{2s}(-\Delta {)}^{s}u+V(x)u=u^p$ in ${\mathbb{R}}^N$, concentrating at different nondege…