Hong-Ge Chen

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20192025

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Showing 2022 · math.APShow all

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math.AP2022

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…

math.AP2022

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 $△_{X} = \sum_{j = 1}^{m} X_{j}^{2}$ on a bounded open domain containing the origin, where $X_1, X_2…