Hua Chen

collaborators

4 papers

math.AP2025

Multiple sign-changing solutions for semilinear subelliptic Dirichlet problem

Hua Chen, Hong-Ge Chen, Jin-Ning Li +1

We study the following perturbation from symmetry problem for the semilinear subelliptic equation \[ \left\{ \begin{array}{cc} -\triangle_{X} u=f(x,u)+g(x,u) & \mbox{in}~Ω, \\[2mm]…

math.AP2025

Critical Sobolev inequalities and global extremals for homogeneous Hörmander vector fields on $R^{n}$

Hua Chen, Hong-Ge Chen, Jin-Ning Li

We study critical Sobolev inequalities and Sobolev extremal functions for homogeneous Hörmander vector fields on $R^{n}$ . The focus is the non-equiregular case. In this setti…

math.AP2024

Dirichlet problem for a class of nonlinear degenerate elliptic operators with critical growth and logarithmic perturbation

Hua Chen, Xin Liao, Ming Zhang

In this paper, we investigate the existence of weak solutions for a class of degenerate elliptic Dirichlet problems with critical nonlinearity and a logarithmic perturbation

math.AP2024

Sharp embedding results and geometric inequalities for Hörmander vector fields

Hua Chen, Hong-Ge Chen, Jin-Ning Li

Let $U$ be a connected open subset of $R^{n}$ , and let $X = (X_{1}, X_{2}, \dots, X_{m})$ be a system of Hörmander vector fields defined on $U$ . This paper addresses sharp embedding…

Multiple sign-changing solutions for semilinear subelliptic Dirichlet problem

Critical Sobolev inequalities and global extremals for homogeneous Hörmander vector fields on Rn

Dirichlet problem for a class of nonlinear degenerate elliptic operators with critical growth and logarithmic perturbation

Sharp embedding results and geometric inequalities for Hörmander vector fields

Critical Sobolev inequalities and global extremals for homogeneous Hörmander vector fields on $R^{n}$