Constructs solutions to Monge-Ampère equations with singular measures on low-codimensional sets, studies their regularity, and motivates the work with optimal transport examples.
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Solutions to Monge-Amp\`ere Equations with Low Codimensional singularities
Constructs solutions to Monge-Ampère equations with singular measures on low-codimensional sets, studies their regularity, and motivates the work with optimal transport examples.