Critical points of the Moser-Trudinger functional

Francesca De Marchis, Andrea Malchiodi, Luca Martinazzi

On a smooth bounded 2-dimensional domain $\Omega$ we study the heat flow $u_t=\Delta u+\lambda (t)u{e}^{u^2}$ ($\lambda (t)$ is such that $d/dt||u(t,\cdot )|{|}_{H_0^1}=0$) introduced by T. Lamm, F. Robert an…