Preprints of YanYan Li


  • 2025d.pdf A Liouville theorem for convex functions with periodic Monge-Amp\`ere measure (with Tianling Jin, Hung V. Tran and Xushan Tu),

  • 2025c.pdf Boundary estimates for a fully nonlinear Yamabe problem on Riemannian manifolds (with Weisong Dong and Luc Nguyen), arXiv:2511.01130v1 [math.AP] 3 Nov 2025.

  • 2025b.pdf Exterior Dirichlet problem for Hessian equations on a non-convex ring (with Ling Xiao), arXiv:2507.08993v2 [math.AP] 21 Aug 2025.

  • 2025a.pdf Composite media, almost touching disks and the maximum principle (with Ben Weinkove), arXiv:2507.02077v1 [math.AP] 2 Jul 2025.

  • 2024d.pdf Liouville Theorem with Boundary Conditions from Chern-Gauss-Bonnet Formula (with Baozhi Chu and Zongyuan Li), arXiv:2410.16384v1 [math.AP] 21 Oct 2024.

  • 2024c.pdf Removable singularity of (-1)-homogeneous solutions of stationary Navier-Stokes equations (with Li Li and Xukai Yan), arXiv:2410.11170v1 [math.AP] 15 Oct 2024. To appear in Transaction of the American Mathematical Society.

  • 2024b.pdf ON THE FULLY NONLINEAR YAMABE PROBLEM WITH CONSTANT BOUNDARY MEAN CURVATURE. I (with Baozhi Chu and Zongyuan Li), arXiv:2410.09683v1 [math.AP] 13 Oct 2024.

  • 2023b.pdf Liouville theorems for conformally invariant fully nonlinear equations. I (with Baozhi Chu and Zongyuan Li), arXiv:2311.07542v1 [math.AP] 13 Nov 2023.

  • 2023a.pdf A Liouville theorem in the Heisenberg group (with Giovanni Catino, Dario D. Monticelli, and Alberto Roncoroni), arXiv:2310.10469v1 [math.AP] 16 Oct 2023. To appear in Journal of the European Mathematical Society.