Jin-ning Li

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math.AP2026

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

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

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

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}~Î©, \\[2mm…

math.AP2024

Sharp embedding results and geometric inequalities for HÃ¶rmander 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 HÃ¶rmander vector fields defined on $U$ . This paper addresses sharp embeddin…

Critical Sobolev inequalities and global extremals for homogeneous HÃ¶rmander vector fields on Rn

Multiple sign-changing solutions for semilinear subelliptic Dirichlet problem

Sharp embedding results and geometric inequalities for HÃ¶rmander vector fields

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