Critical points of the Moser-Trudinger functional on a disk

Andrea Malchiodi, Luca Martinazzi

On the 2-dimensional unit disk $B_1$ we study the Moser-Trudinger functional $$E(u)={\int }_{B_1}(e^{u^2}-1)dx,u\in H_0^1(B_1)$$ and its restrictions to $M_Λ:=\{u \in H^1_0(B_1):\|u\…