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20232025
most citedThe existence of topological solutions to the Chern-Simons model on lattice graphs

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math.AP2025

Weighted Eigenvalue Problem for a Class of Singular/Degenerate -Hessian Equations

Rongxun He, Genggeng Huang

In this paper, we study the existence and uniqueness of solutions to the weighted eigenvalue problem for -Hessian equation. To achieve this, we establish the uniform a priori es…

math.AP2024

Mixed type boundary value problem of elliptic equation in a thin domain

Dian Hu, Genggeng Huang

In this paper, we prove the a priori estimates for two-dimensional second order homogeneous linear elliptic equations in a narrow region. In a crescent-shaped area, part of the bou…

math.AP2023

Classification of solutions of higher order critical Choquard equation

Genggeng Huang, Yating Niu

In this paper, we classify the solutions of the following critical Choquard equation \[ (-Δ)^{\frac{n}{2}} u(x) = \int_{\mathbb{R}^n} \frac{e^{\frac{2n- μ}{2}u(y)}}{|x-y|^μ}dy e^{\…