Yanjun Liu

activity

20232026

collaborators

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2 papers · 1 filter

math.AP2026

Sharp singular Moser-Trudinger inequalities and n-Laplacian equations with degenerate potentials

Hao Hu, Yanjun Liu, Huabo Zhang

Let $n \geq 2$ , $0 < β < n$ , and let $V$ be a continuous nonnegative potential on $R^{n}$ with a positive lower bound outside a ball. Under the constraint $\int_{\R^n}(|\nabla u|^n+V|u|^n…

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)})}…