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• W3124784513 endingPage "2013" @default.
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• W3124784513 abstract "A basic idea in optimal transport is that optimizers can be characterized through a geometric property of their support sets called cyclical monotonicity. In recent years, similar monotonicity principles have found applications in other fields where infinite-dimensional linear optimization problems play an important role. In this note, we observe how this approach can be transferred to non-linear optimization problems. Specifically we establish a monotonicity principle is applicable to the Schrödinger problem and use it to characterize the structure of optimizers for target functionals beyond relative entropy. In contrast to classical convex duality approaches, a main novelty is that the monotonicity principle allows to deal also with non-convex functionals." @default.
• W3124784513 created "2021-02-01" @default.
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• W3124784513 date "2022-06-03" @default.
• W3124784513 modified "2023-09-26" @default.
• W3124784513 title "A non‐linear monotonicity principle and applications to Schrödinger‐type problems" @default.
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• W3124784513 doi "https://doi.org/10.1112/blms.12675" @default.
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