Preprints of YanYan Li


  • 2026a.pdf Two-bump axisymmetric solutions of the Nirenberg problem (with Luc Nguyen and Bo Wang), arXiv:2606.08537v1 [math.AP] 7 June 2026.

  • 2025d.pdf A Liouville theorem for convex functions with periodic Monge-Amp\`ere measure (with Tianling Jin, Hung V. Tran and Xushan Tu), arXiv:2511.15021v1 [math.AP] 19 Nov 2025.

  • 2025c.pdf Boundary estimates for a fully nonlinear Yamabe problem on Riemannian manifolds (with Weisong Dong and Luc Nguyen). Dedicated to the memory of Louis Nirenberg, whose work has profoundly influenced ours, on the centennial of his birth. To appear in Discrete Contin. Dyn. Syst. Series A.

  • 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.

  • 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.