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The Monge problem of ``piles and holes on the torus and the problem of small denominators

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Publication:1731400
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DOI10.1134/S0037446618060113zbMath1412.57024OpenAlexW2906122341MaRDI QIDQ1731400

Xianqiang Yang

Publication date: 13 March 2019

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446618060113


zbMATH Keywords

Monge-Kantorovich problemsmall denominatorssmooth endomorphisms


Mathematics Subject Classification ID

Differentiable mappings in differential topology (57R35) Differential topological aspects of diffeomorphisms (57R50)




Cites Work

  • Formes-volume sur les variétés à bord
  • Groups of volume-preserving diffeomorphisms of noncompact manifolds and mass flow toward ends
  • Diffeomorphisms and Volume-Preserving Embeddings of Noncompact Manifolds
  • The Monge-Kantorovich problem: achievements, connections, and perspectives
  • SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
  • On the Volume Elements on a Manifold


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