2 papers
math.AP2026
A Decomposition Lemma in Convex Integration via Classical Algebraic Geometry
Zhitong Su, Weijun Zhang
In this paper, we prove a decomposition lemma for symmetric matrix fields on bounded domains: with uniform control on and…
math.CV2026
Some variational problems for the complex Monge--Amp{è}re operator
Jianchun Chu, Yaxiong Liu, Nicholas McCleerey +1
We consider the Dirichlet problem for the complex Monge--Ampère equation on strongly pseudoconvex Kähler manifolds when the right-hand side is decreasing in the solution. Using f…