3 papers
math.AP2026
Extremals and Thresholds for Critical Singular Anisotropic Moser-Trudinger Inequalities
Kaiwen Guo, Yanjun Liu
For , and , 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)})}…
math.FA2025
Existence of extremal functions and Wulff symmetry for anisotropic Trudinger-Moser inequalities
Kaiwen Guo, Yanjun Liu
In this paper, we investigate the extremal functions for anisotropic Trudinger-Moser inequalities. Our method uses convex symmetrization, the continuity of the supremum function, t…
math.AP2023
Singular Trudinger--Moser inequality involving norm in bounded domain
Kaiwen Guo, Yanjun Liu
In this paper, we use the method of blow-up analysis and capacity estimate to derive the singular Trudinger--Moser inequality involving -Finsler--Laplacian and norm, pre…