Extremals and Thresholds for Critical Singular Anisotropic Moser-Trudinger Inequalities

Kaiwen Guo, Yanjun Liu

For $N\ge 2$, $0<\beta <N$ and $q>1$, we study maximizers of the critical singular anisotropic Moser--Trudinger integral \[ \int_{\mathbb{R}^N} \frac{Φ_{N,q,β} (λ_N(1-β/N)|u|^{N/(N-1)})}…