Least energy sign-changing solutions for a class of fractional
$(p,q)$-Laplacian problems with critical growth in
$\R^N$
Abstract
In this paper we consider the following fractional $(p,q)$-Laplacian
equation $$ (-\Delta)_{p}^{s}
u+(-\Delta)_{q}^{s}
u+V(x)\left(|u|^{p-2}
u+|u|^{q-2}
u\right)=\lambda
f(u)+|u|^{q^*_s-2}u \quad
\text { in } \mathbb{R}^{N}, $$
where $s \in(0,1),
\lambda>0, 2