Solutions with various structures for semilinear equations in ${\mathbb{R}}^n$ driven by fractional Laplacian

A. I. Nazarov, A. P. Shcheglova

We study bounded solutions to the fractional equation $(-\Delta {)}^{s}u+u-|u{|}^{q-2}u=0$ in ${\mathbb{R}}^n$ for $n\ge 2$ and subcritical exponent $q>2$. Applying the variational approach…