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Alexandroff, A · 1942

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math.AP 1

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2025 1

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On a general class of free boundary Monge-Amp\`ere equations

math.AP · 2025-08-07 · conditional · novelty 8.0

A general existence theorem for free-boundary Monge-Ampere equations with prescribed gradient image, applied to degenerate optimal transport, Monge-Ampere eigenvalues, a hemispherical Minkowski problem, and free-boundary toric Kaehler-Ricci solitons.

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  • On a general class of free boundary Monge-Amp\`ere equations math.AP · 2025-08-07 · conditional · none · ref 1

    A general existence theorem for free-boundary Monge-Ampere equations with prescribed gradient image, applied to degenerate optimal transport, Monge-Ampere eigenvalues, a hemispherical Minkowski problem, and free-boundary toric Kaehler-Ricci solitons.