5 papers
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]…
Critical Sobolev inequalities and global extremals for homogeneous Hörmander vector fields on
Hua Chen, Hong-Ge Chen, Jin-Ning Li
We study critical Sobolev inequalities and Sobolev extremal functions for homogeneous Hörmander vector fields on . The focus is the non-equiregular case. In this setti…
Sharp embedding results and geometric inequalities for Hörmander vector fields
Hua Chen, Hong-Ge Chen, Jin-Ning Li
Let be a connected open subset of , and let be a system of Hörmander vector fields defined on . This paper addresses sharp embedding…
Multiplicity of solutions for semilinear subelliptic Dirichlet problem
Hua Chen, Hong-Ge Chen, Jin-Ning Li +1
In this paper, we study the semilinear subelliptic equation \[ \left\{ \begin{array}{cc} -\triangle_{X} u=f(x,u)+g(x,u) & \mbox{in}~Ω, \\[2mm] u=0\hfill & \mbox{on}~\partialΩ, \end…
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…