Hua Chen

activity

20232025

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Showing 2024 · math.APShow all

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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…