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Triangles minimize the Monge-Ampère eigenvalue among planar bounded convex domains of a given area
We prove that triangles minimize the Monge-Ampère eigenvalue among bounded planar convex domains of a given area, thus resolving the two-dimensional case of Le's simplex conjecture for the Monge-Ampère eigenvalue (The eigenvalue problem for the Monge-Ampère operator on general bounded convex domains
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