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arxiv: 0910.1718 · v1 · submitted 2009-10-09 · 🧮 math.AP

Gevrey regularity of subelliptic Monge-Amp\`ere equations in the plane

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keywords equationsgevreymonge-ampplaneregularityappropriatelyassumptionclass
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In this paper, we establish the Gevrey regularity of solutions for a class of degenerate Monge-Amp\`ere equations in the plane, under the assumption that one principle entry of the Hessian is strictly positive and an appropriately finite type degeneracy.

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