The existence of minimizers for an isoperimetric problem with Wasserstein penalty term in unbounded domains

DOI10.1515/ACV-2020-0083OpenAlexW3139007155MaRDI QIDQ2677297

Qinglan Xia, Bohan Zhou

Publication date: 13 January 2023

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.07129

zbMATH Keywords

unbounded domainsisoperimetric problemWasserstein distancevolume constraintsquasi-perimeter

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (1)

Minimizing optimal transport for functions with fixed-size nodal sets

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