Matches in SemOpenAlex for { <https://semopenalex.org/work/W1444803443> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W1444803443 endingPage "40" @default.
- W1444803443 startingPage "25" @default.
- W1444803443 abstract "AbstractIn this paper we consider the family of sets verifying the uniform cusp property introduced in [2] and extended in [4] to cusp functions only continuous at the origin. In the latter case we show that to any extended cusp function, we can associate a continuous, non-negative, and monotone strictly increasing cusp function of the type introduced in [2]. We construct an example of a bounded set in R N with a cusp function of the form c|θ|α, 0 < α < 1, for which its boundary integral is infinite and the Hausdorff dimension of its boundary is exactly N − α. We then give compactness theorems for the family of subsets of a bounded open holdall verifying a uniform cusp property with a uniform bound on either the De Georgi [6] or the γ-density perimeter of Bucur and Zolésio [1]. We also give their uniform local C 0-graph versions following [4]. This class forms a much larger family than the one of subsets verifying a uniform cone property.KeywordsOriented distance functionsigned distance functioncompactnesscusp propertyboundary integraldensity perimeterHausdorff dimension" @default.
- W1444803443 created "2016-06-24" @default.
- W1444803443 creator A5010734163 @default.
- W1444803443 creator A5026288038 @default.
- W1444803443 creator A5091048180 @default.
- W1444803443 date "2006-01-14" @default.
- W1444803443 modified "2023-10-16" @default.
- W1444803443 title "Uniform Cusp Property, Boundary Integral, and Compactness for Shape Optimization" @default.
- W1444803443 cites W1489458628 @default.
- W1444803443 cites W2047704663 @default.
- W1444803443 cites W2481453809 @default.
- W1444803443 doi "https://doi.org/10.1007/0-387-23467-5_2" @default.
- W1444803443 hasPublicationYear "2006" @default.
- W1444803443 type Work @default.
- W1444803443 sameAs 1444803443 @default.
- W1444803443 citedByCount "3" @default.
- W1444803443 crossrefType "book-chapter" @default.
- W1444803443 hasAuthorship W1444803443A5010734163 @default.
- W1444803443 hasAuthorship W1444803443A5026288038 @default.
- W1444803443 hasAuthorship W1444803443A5091048180 @default.
- W1444803443 hasBestOaLocation W14448034431 @default.
- W1444803443 hasConcept C114614502 @default.
- W1444803443 hasConcept C134306372 @default.
- W1444803443 hasConcept C18648836 @default.
- W1444803443 hasConcept C191399826 @default.
- W1444803443 hasConcept C194198291 @default.
- W1444803443 hasConcept C2524010 @default.
- W1444803443 hasConcept C2778400075 @default.
- W1444803443 hasConcept C2834757 @default.
- W1444803443 hasConcept C33676613 @default.
- W1444803443 hasConcept C33923547 @default.
- W1444803443 hasConcept C34388435 @default.
- W1444803443 hasConcept C62354387 @default.
- W1444803443 hasConceptScore W1444803443C114614502 @default.
- W1444803443 hasConceptScore W1444803443C134306372 @default.
- W1444803443 hasConceptScore W1444803443C18648836 @default.
- W1444803443 hasConceptScore W1444803443C191399826 @default.
- W1444803443 hasConceptScore W1444803443C194198291 @default.
- W1444803443 hasConceptScore W1444803443C2524010 @default.
- W1444803443 hasConceptScore W1444803443C2778400075 @default.
- W1444803443 hasConceptScore W1444803443C2834757 @default.
- W1444803443 hasConceptScore W1444803443C33676613 @default.
- W1444803443 hasConceptScore W1444803443C33923547 @default.
- W1444803443 hasConceptScore W1444803443C34388435 @default.
- W1444803443 hasConceptScore W1444803443C62354387 @default.
- W1444803443 hasLocation W14448034431 @default.
- W1444803443 hasOpenAccess W1444803443 @default.
- W1444803443 hasPrimaryLocation W14448034431 @default.
- W1444803443 hasRelatedWork W1444803443 @default.
- W1444803443 hasRelatedWork W1775499059 @default.
- W1444803443 hasRelatedWork W1965019369 @default.
- W1444803443 hasRelatedWork W2037136538 @default.
- W1444803443 hasRelatedWork W2054104090 @default.
- W1444803443 hasRelatedWork W2127476476 @default.
- W1444803443 hasRelatedWork W2161091006 @default.
- W1444803443 hasRelatedWork W2356056792 @default.
- W1444803443 hasRelatedWork W3107918277 @default.
- W1444803443 hasRelatedWork W4281745187 @default.
- W1444803443 isParatext "false" @default.
- W1444803443 isRetracted "false" @default.
- W1444803443 magId "1444803443" @default.
- W1444803443 workType "book-chapter" @default.