On a zero-mass $(p,q)$-Laplacian equation involving subcritical and supercritical growth in ${\mathbb{R}}^N$

Everaldo Souto De Medeiros, Antonio Araújo Do Nascimento, Gaetano Siciliano

This paper is concerned with the zero-mass $(p,q)$-Laplacian equation $$-{\Delta }_{p}u-{\Delta }_{q}u=|u{|}^{r-2}u+\lambda |u{|}^{s-2}u\text{in }{\mathbb{R}}^N,$$ where $1<q<p<N$. The exponents $r$…