4 papers
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…
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…
The existence of topological solutions to the Chern-Simons model on lattice graphs
Bobo Hua, Genggeng Huang, Jiaxuan Wang
We prove the existence of topological solutions to the self-dual Chern-Simons model and the Abelian Higgs system on the lattice graphs Z^n for n>1. This extends the results in Huan…
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^{\…