3 papers
math.AP2026
Sharp long distance upper bounds for solutions of Leibenson's equation on Riemannian manifolds
Alexander Grigor'yan, Jin Sun, Philipp Sürig
We consider on Riemannian manifolds the Leibenson equation that is also known as a doubly nonlinear evolution equation. We prove sharp upper estimates…
math.CV2024
Projective embedding of degenerating family of Kähler-Einstein manifolds of negative curvature
Jingzhou Sun
We study the Bergman embeddings of degenerating families of Kähler-Einsten manifolds of negative curvature. In one special case, we show that we can construct orthonormal bases so…
math.DG2024
Bergman Kernels of the Cheng-Yau metrics on quasi-projective manifolds
Jingzhoun Sun
We show the asymptotics of the Bergman kernel function near the smooth divisor at infinity of the Cheng-Yau metric on quasi-projective manifolds. In particular, we show that there…