Yanjun Liu

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20232026

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math.AP2026

Extremals and Thresholds for Critical Singular Anisotropic Moser-Trudinger Inequalities

Kaiwen Guo, Yanjun Liu

For $N \geq 2$ , $0 < β < N$ 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)})}…

math.AP2023

Singular Trudinger--Moser inequality involving $L^{p}$ 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 $N$ -Finsler--Laplacian and $L^{p}$ norm, pre…

Extremals and Thresholds for Critical Singular Anisotropic Moser-Trudinger Inequalities

Singular Trudinger--Moser inequality involving Lp norm in bounded domain

Singular Trudinger--Moser inequality involving $L^{p}$ norm in bounded domain