Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100132315> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W3100132315 endingPage "48" @default.
- W3100132315 startingPage "48" @default.
- W3100132315 abstract "We study a class of integral functionals known as nonlocal perimeters, which, intuitively, express a weighted interaction between a set and its complement. The weight is provided by a positive kernel K , which might be singular. In the first part of the paper, we show that these functionals are indeed perimeters in a generalised sense that has been recently introduced by A. Chambolle et al. [ Archiv. Rational Mech. Anal. 218 (2015) 1263–1329]. Also, we establish existence of minimisers for the corresponding Plateau’s problem and, when K is radial and strictly decreasing, we prove that halfspaces are minimisers if we prescribe “flat” boundary conditions. A Γ-convergence result is discussed in the second part of the work. We study the limiting behaviour of the nonlocal perimeters associated with certain rescalings of a given kernel that has faster-than- L 1 decay at infinity and we show that the Γ-limit is the classical perimeter, up to a multiplicative constant that we compute explicitly." @default.
- W3100132315 created "2020-11-23" @default.
- W3100132315 creator A5030162680 @default.
- W3100132315 creator A5084983040 @default.
- W3100132315 date "2019-01-01" @default.
- W3100132315 modified "2023-09-25" @default.
- W3100132315 title "On the asymptotic behaviour of nonlocal perimeters" @default.
- W3100132315 cites W1540378308 @default.
- W3100132315 cites W2018102588 @default.
- W3100132315 cites W202688680 @default.
- W3100132315 cites W2028051090 @default.
- W3100132315 cites W2029705983 @default.
- W3100132315 cites W2031461344 @default.
- W3100132315 cites W2044588227 @default.
- W3100132315 cites W2086926544 @default.
- W3100132315 cites W2090421040 @default.
- W3100132315 cites W2138250271 @default.
- W3100132315 cites W2962851069 @default.
- W3100132315 cites W2962965321 @default.
- W3100132315 cites W4229690478 @default.
- W3100132315 cites W4285057617 @default.
- W3100132315 cites W4299658662 @default.
- W3100132315 doi "https://doi.org/10.1051/cocv/2018038" @default.
- W3100132315 hasPublicationYear "2019" @default.
- W3100132315 type Work @default.
- W3100132315 sameAs 3100132315 @default.
- W3100132315 citedByCount "15" @default.
- W3100132315 countsByYear W31001323152020 @default.
- W3100132315 countsByYear W31001323152021 @default.
- W3100132315 countsByYear W31001323152022 @default.
- W3100132315 countsByYear W31001323152023 @default.
- W3100132315 crossrefType "journal-article" @default.
- W3100132315 hasAuthorship W3100132315A5030162680 @default.
- W3100132315 hasAuthorship W3100132315A5084983040 @default.
- W3100132315 hasBestOaLocation W31001323152 @default.
- W3100132315 hasConcept C104317684 @default.
- W3100132315 hasConcept C112313634 @default.
- W3100132315 hasConcept C127413603 @default.
- W3100132315 hasConcept C127716648 @default.
- W3100132315 hasConcept C134306372 @default.
- W3100132315 hasConcept C138885662 @default.
- W3100132315 hasConcept C151201525 @default.
- W3100132315 hasConcept C185592680 @default.
- W3100132315 hasConcept C188082640 @default.
- W3100132315 hasConcept C188198153 @default.
- W3100132315 hasConcept C202444582 @default.
- W3100132315 hasConcept C2780813799 @default.
- W3100132315 hasConcept C33923547 @default.
- W3100132315 hasConcept C41895202 @default.
- W3100132315 hasConcept C42747912 @default.
- W3100132315 hasConcept C55493867 @default.
- W3100132315 hasConcept C62354387 @default.
- W3100132315 hasConcept C7321624 @default.
- W3100132315 hasConcept C74193536 @default.
- W3100132315 hasConcept C78519656 @default.
- W3100132315 hasConceptScore W3100132315C104317684 @default.
- W3100132315 hasConceptScore W3100132315C112313634 @default.
- W3100132315 hasConceptScore W3100132315C127413603 @default.
- W3100132315 hasConceptScore W3100132315C127716648 @default.
- W3100132315 hasConceptScore W3100132315C134306372 @default.
- W3100132315 hasConceptScore W3100132315C138885662 @default.
- W3100132315 hasConceptScore W3100132315C151201525 @default.
- W3100132315 hasConceptScore W3100132315C185592680 @default.
- W3100132315 hasConceptScore W3100132315C188082640 @default.
- W3100132315 hasConceptScore W3100132315C188198153 @default.
- W3100132315 hasConceptScore W3100132315C202444582 @default.
- W3100132315 hasConceptScore W3100132315C2780813799 @default.
- W3100132315 hasConceptScore W3100132315C33923547 @default.
- W3100132315 hasConceptScore W3100132315C41895202 @default.
- W3100132315 hasConceptScore W3100132315C42747912 @default.
- W3100132315 hasConceptScore W3100132315C55493867 @default.
- W3100132315 hasConceptScore W3100132315C62354387 @default.
- W3100132315 hasConceptScore W3100132315C7321624 @default.
- W3100132315 hasConceptScore W3100132315C74193536 @default.
- W3100132315 hasConceptScore W3100132315C78519656 @default.
- W3100132315 hasFunder F4320321114 @default.
- W3100132315 hasFunder F4320324499 @default.
- W3100132315 hasLocation W31001323151 @default.
- W3100132315 hasLocation W31001323152 @default.
- W3100132315 hasLocation W31001323153 @default.
- W3100132315 hasOpenAccess W3100132315 @default.
- W3100132315 hasPrimaryLocation W31001323151 @default.
- W3100132315 hasRelatedWork W1661580949 @default.
- W3100132315 hasRelatedWork W2054355349 @default.
- W3100132315 hasRelatedWork W2094779701 @default.
- W3100132315 hasRelatedWork W2361111626 @default.
- W3100132315 hasRelatedWork W2363168345 @default.
- W3100132315 hasRelatedWork W3124205579 @default.
- W3100132315 hasRelatedWork W3192345888 @default.
- W3100132315 hasRelatedWork W4280532363 @default.
- W3100132315 hasRelatedWork W4281635306 @default.
- W3100132315 hasRelatedWork W4304144362 @default.
- W3100132315 hasVolume "25" @default.
- W3100132315 isParatext "false" @default.
- W3100132315 isRetracted "false" @default.
- W3100132315 magId "3100132315" @default.
- W3100132315 workType "article" @default.