Sign-changing blow-up for the Moser-Trudinger equation

Luca Martinazzi, Pierre-Damien Thizy, Jérôme Vétois

Given a sufficiently symmetric domain $\Omega ⋐{\mathbb{R}}^2$, for any $k\in \mathbb{N}\setminus \{0\}$ and $\beta >4\pi k$ we construct blowing-up solutions $(u_\varepsilon)\subset H^1_0(Ω…