On a critical curl-curl system of Lane-Emden type

Ioannis Arkoudis, Jarosław Mederski, Andrzej Szulkin

We study the system $\nabla \times \nabla \times u=|v{|}^{q-2}v$, $\nabla \times \nabla \times v=|u{|}^{p-2}u$ of Lane-Emden type in ${\mathbb{R}}^3$, with exponents $p,q>3$ on the critical…