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Guo-Qing Cui

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Preprint Oct 2026

Global H\"older estimates for linearized Monge-Amp\`ere equations in divergence form with applications to dual semigeostrophic equations and periodic homogenization

We establish interior and global H\"older estimates for linearized Monge-Amp\`ere equations in divergence form in all dimensions $n\geq 3$, when the Hessian determinant of the convex Monge-Amp\`ere potential is bounded above and below by positive constants and the vector field on the right-hand side is bounded. The est...

Guo-Qing Cui, Chong Gu, N. Q. Le et al. · 3 citations

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