214 citations · 257 across the 16 of their papers we have counts for
17 papers
Existence and multiplicity of solutions to Dirichlet problem for semilinear subelliptic equation with a free perturbation
Hua Chen, Hong-Ge Chen, Xin-Rui Yuan
This paper is concerned with existence and multiplicity results for the semilinear subelliptic equation with free perturbation term. By using the degenerate Rellich-Kondrachov comp…
Asymptotic behaviour of Dirichlet eigenvalues for homogeneous Hörmander operators and algebraic geometry approach
Hua Chen, Hong-Ge Chen, Jin-Ning Li
We study the Dirichlet eigenvalue problem of homogeneous Hörmander operators on a bounded open domain containing the origin, where $X_1, X_2…
The spectral gap to torsion problem for some non-convex domains
Hua Chen, Peng Luo
In this paper we study the following torsion problem \begin{equation*} \begin{cases} -Δu=1~&\mbox{in}\ Ω,\\[1mm] u=0~&\mbox{on}\ \partialΩ. \end{cases} \end{equation*} Let $Ω\subse…
Estimates of Dirichlet Eigenvalues for a Class of Sub-elliptic Operators
Hua Chen, Hongge Chen
Let be a bounded connected open subset in with smooth boundary . Suppose that we have a system of real smooth vector fields $\cdots,…
A free boundary problem for a class of parabolic-elliptic type chemotaxis model
Hua Chen, Wenbin Lv, Shaohua Wu
In this paper, we study a free boundary problem for a class of parabolic-elliptic type chemotaxis model in high dimensional symmetry domain Ω. By using the contraction mapping prin…
Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off
Hua Chen, Xin Hu, Wei-Xi Li +1
In this article we study the Gevrey regularization effect for the spatially inhomogeneous Boltzmann equation without angular cutoff. This equation is partially elliptic in the velo…