Matches in SemOpenAlex for { <https://semopenalex.org/work/W1674747255> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W1674747255 abstract "In this paper we investigate H-minimal graphs of lower regularity. We show that noncharactersitic C^1 H-minimal graphs whose components of the unit horizontal Gauss map are in W^{1,1} are ruled surfaces with C^2 seed curves. In a different direction, we investigate ways in which patches of C^1 H-minimal graphs can be glued together to form continuous piecewise C^1 H-minimal surfaces. We apply these description of H-minimal graphs to the question of the existence of smooth solutions to the Dirichlet problem with smooth data. We find a necessary condition for the existence of smooth solutions and produce examples where the conditions are satisfied and where they fail. In particular we illustrate the failure of the smoothness of the data to force smoothness of the solution to the Dirichlet problem by producing a class of smooth curves whoses H-minimal spanning graphs cannot be C^2." @default.
- W1674747255 created "2016-06-24" @default.
- W1674747255 creator A5078170104 @default.
- W1674747255 date "2005-05-13" @default.
- W1674747255 modified "2023-09-27" @default.
- W1674747255 title "H-minimal graphs of low regularity in the Heisenberg group" @default.
- W1674747255 cites W1522020530 @default.
- W1674747255 cites W1630421210 @default.
- W1674747255 cites W1988670913 @default.
- W1674747255 cites W1992241878 @default.
- W1674747255 cites W2007705271 @default.
- W1674747255 cites W2051856264 @default.
- W1674747255 cites W2073552032 @default.
- W1674747255 cites W2742470390 @default.
- W1674747255 cites W2950106218 @default.
- W1674747255 cites W2950738336 @default.
- W1674747255 hasPublicationYear "2005" @default.
- W1674747255 type Work @default.
- W1674747255 sameAs 1674747255 @default.
- W1674747255 citedByCount "2" @default.
- W1674747255 crossrefType "posted-content" @default.
- W1674747255 hasAuthorship W1674747255A5078170104 @default.
- W1674747255 hasConcept C102634674 @default.
- W1674747255 hasConcept C114614502 @default.
- W1674747255 hasConcept C118615104 @default.
- W1674747255 hasConcept C122637931 @default.
- W1674747255 hasConcept C127519595 @default.
- W1674747255 hasConcept C134306372 @default.
- W1674747255 hasConcept C145420912 @default.
- W1674747255 hasConcept C154945302 @default.
- W1674747255 hasConcept C164660894 @default.
- W1674747255 hasConcept C169214877 @default.
- W1674747255 hasConcept C17095337 @default.
- W1674747255 hasConcept C182310444 @default.
- W1674747255 hasConcept C202444582 @default.
- W1674747255 hasConcept C2777212361 @default.
- W1674747255 hasConcept C30707913 @default.
- W1674747255 hasConcept C33923547 @default.
- W1674747255 hasConcept C41008148 @default.
- W1674747255 hasConceptScore W1674747255C102634674 @default.
- W1674747255 hasConceptScore W1674747255C114614502 @default.
- W1674747255 hasConceptScore W1674747255C118615104 @default.
- W1674747255 hasConceptScore W1674747255C122637931 @default.
- W1674747255 hasConceptScore W1674747255C127519595 @default.
- W1674747255 hasConceptScore W1674747255C134306372 @default.
- W1674747255 hasConceptScore W1674747255C145420912 @default.
- W1674747255 hasConceptScore W1674747255C154945302 @default.
- W1674747255 hasConceptScore W1674747255C164660894 @default.
- W1674747255 hasConceptScore W1674747255C169214877 @default.
- W1674747255 hasConceptScore W1674747255C17095337 @default.
- W1674747255 hasConceptScore W1674747255C182310444 @default.
- W1674747255 hasConceptScore W1674747255C202444582 @default.
- W1674747255 hasConceptScore W1674747255C2777212361 @default.
- W1674747255 hasConceptScore W1674747255C30707913 @default.
- W1674747255 hasConceptScore W1674747255C33923547 @default.
- W1674747255 hasConceptScore W1674747255C41008148 @default.
- W1674747255 hasLocation W16747472551 @default.
- W1674747255 hasOpenAccess W1674747255 @default.
- W1674747255 hasPrimaryLocation W16747472551 @default.
- W1674747255 hasRelatedWork W124742449 @default.
- W1674747255 hasRelatedWork W1630421210 @default.
- W1674747255 hasRelatedWork W1720348769 @default.
- W1674747255 hasRelatedWork W1784882796 @default.
- W1674747255 hasRelatedWork W1908121588 @default.
- W1674747255 hasRelatedWork W1964182382 @default.
- W1674747255 hasRelatedWork W1979427864 @default.
- W1674747255 hasRelatedWork W2022931294 @default.
- W1674747255 hasRelatedWork W2083430029 @default.
- W1674747255 hasRelatedWork W2142953635 @default.
- W1674747255 hasRelatedWork W2574793015 @default.
- W1674747255 hasRelatedWork W2770069154 @default.
- W1674747255 hasRelatedWork W2835226704 @default.
- W1674747255 hasRelatedWork W2887161714 @default.
- W1674747255 hasRelatedWork W2948269795 @default.
- W1674747255 hasRelatedWork W2952030683 @default.
- W1674747255 hasRelatedWork W2952718812 @default.
- W1674747255 hasRelatedWork W2963125860 @default.
- W1674747255 hasRelatedWork W3160382443 @default.
- W1674747255 hasRelatedWork W883803088 @default.
- W1674747255 isParatext "false" @default.
- W1674747255 isRetracted "false" @default.
- W1674747255 magId "1674747255" @default.
- W1674747255 workType "article" @default.