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math.CV2025
Non-quadratic solutions to the Monge-Ampère equation
Yifei Pan, Yuan Zhang
We construct ample smooth strictly plurisubharmonic non-quadratic solutions to the Monge-Ampère equation on either cylindrical type domains or the whole complex Euclidean space $\m…
math.CV2025
On homotopy formulae for product domains: Nijenhuis-Woolf's formulae and optimal Sobolev estimates
Liding Yao, Yuan Zhang
We construct homotopy formulae for forms on the product domain , where each…