Bubbling nodal solutions for a large perturbation of the Moser-Trudinger equation on planar domains

Massimo Grossi, Gabriele Mancini, Daisuke Naimen +1

In this work we study the existence of nodal solutions for the problem $$-\Delta u=\lambda u{e}^{u^2+|u{|}^p}\text{ in }\Omega ,u=0\text{ on }\partial \Omega ,$$ where $\Omega \subseteq {\mathbb{R}}^2$ is…