Matches in SemOpenAlex for { <https://semopenalex.org/work/W2328267777> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2328267777 abstract "We consider Monge's optimal transport problem posed on compact manifolds (possibly with boundary) for a lower semi-continuous cost function c. When all data are smooth and the given measures positive, we restrict the total cost to diffeomorphisms. If a diffeomorphism is stationary for , we know that it admits a potential function. If it realizes a local minimum of , we prove that the c-Hessian of its potential function must be non-negative, positive if the cost function c is non-degenerate. If c is generating non-degenerate, we reduce the existence of a local minimizer of to that of an elliptic solution of the Monge–Ampère equation expressing the measure transport; moreover, the local minimizer is unique. It is global, thus solving Monge's problem, provided c is superdifferentiable with respect to one of its arguments." @default.
- W2328267777 created "2016-06-24" @default.
- W2328267777 creator A5020278945 @default.
- W2328267777 date "2012-01-01" @default.
- W2328267777 modified "2023-10-18" @default.
- W2328267777 title "Second order variational heuristics for the Monge problem on compact manifolds" @default.
- W2328267777 cites W1984533458 @default.
- W2328267777 cites W2024935598 @default.
- W2328267777 cites W2050480234 @default.
- W2328267777 cites W2079662607 @default.
- W2328267777 cites W2096413780 @default.
- W2328267777 cites W2137674306 @default.
- W2328267777 cites W2139301315 @default.
- W2328267777 cites W2162155934 @default.
- W2328267777 doi "https://doi.org/10.1515/acv.2011.017" @default.
- W2328267777 hasPublicationYear "2012" @default.
- W2328267777 type Work @default.
- W2328267777 sameAs 2328267777 @default.
- W2328267777 citedByCount "0" @default.
- W2328267777 crossrefType "journal-article" @default.
- W2328267777 hasAuthorship W2328267777A5020278945 @default.
- W2328267777 hasBestOaLocation W23282677772 @default.
- W2328267777 hasConcept C10138342 @default.
- W2328267777 hasConcept C121332964 @default.
- W2328267777 hasConcept C126255220 @default.
- W2328267777 hasConcept C127705205 @default.
- W2328267777 hasConcept C134306372 @default.
- W2328267777 hasConcept C14036430 @default.
- W2328267777 hasConcept C162324750 @default.
- W2328267777 hasConcept C182306322 @default.
- W2328267777 hasConcept C202444582 @default.
- W2328267777 hasConcept C203616005 @default.
- W2328267777 hasConcept C28826006 @default.
- W2328267777 hasConcept C33923547 @default.
- W2328267777 hasConcept C47556283 @default.
- W2328267777 hasConcept C62354387 @default.
- W2328267777 hasConcept C62520636 @default.
- W2328267777 hasConcept C72319582 @default.
- W2328267777 hasConcept C78458016 @default.
- W2328267777 hasConcept C86803240 @default.
- W2328267777 hasConceptScore W2328267777C10138342 @default.
- W2328267777 hasConceptScore W2328267777C121332964 @default.
- W2328267777 hasConceptScore W2328267777C126255220 @default.
- W2328267777 hasConceptScore W2328267777C127705205 @default.
- W2328267777 hasConceptScore W2328267777C134306372 @default.
- W2328267777 hasConceptScore W2328267777C14036430 @default.
- W2328267777 hasConceptScore W2328267777C162324750 @default.
- W2328267777 hasConceptScore W2328267777C182306322 @default.
- W2328267777 hasConceptScore W2328267777C202444582 @default.
- W2328267777 hasConceptScore W2328267777C203616005 @default.
- W2328267777 hasConceptScore W2328267777C28826006 @default.
- W2328267777 hasConceptScore W2328267777C33923547 @default.
- W2328267777 hasConceptScore W2328267777C47556283 @default.
- W2328267777 hasConceptScore W2328267777C62354387 @default.
- W2328267777 hasConceptScore W2328267777C62520636 @default.
- W2328267777 hasConceptScore W2328267777C72319582 @default.
- W2328267777 hasConceptScore W2328267777C78458016 @default.
- W2328267777 hasConceptScore W2328267777C86803240 @default.
- W2328267777 hasIssue "3" @default.
- W2328267777 hasLocation W23282677771 @default.
- W2328267777 hasLocation W23282677772 @default.
- W2328267777 hasLocation W23282677773 @default.
- W2328267777 hasLocation W23282677774 @default.
- W2328267777 hasOpenAccess W2328267777 @default.
- W2328267777 hasPrimaryLocation W23282677771 @default.
- W2328267777 hasRelatedWork W1410783277 @default.
- W2328267777 hasRelatedWork W1671878326 @default.
- W2328267777 hasRelatedWork W2000125321 @default.
- W2328267777 hasRelatedWork W2070896797 @default.
- W2328267777 hasRelatedWork W2077677228 @default.
- W2328267777 hasRelatedWork W2615451335 @default.
- W2328267777 hasRelatedWork W2758510025 @default.
- W2328267777 hasRelatedWork W2988779788 @default.
- W2328267777 hasRelatedWork W3137746120 @default.
- W2328267777 hasRelatedWork W3181721497 @default.
- W2328267777 hasVolume "5" @default.
- W2328267777 isParatext "false" @default.
- W2328267777 isRetracted "false" @default.
- W2328267777 magId "2328267777" @default.
- W2328267777 workType "article" @default.