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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
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…