Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950681606> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W2950681606 abstract "We show weak* in measures on $barO$/ weak-$L^1$ sequential continuity of $umapsto f(x,nabla u):W^{1,p}(O;R^m)to L^1(O)$, where $f(x,cdot)$ is a null Lagrangian for $xinO$, it is a null Lagrangian at the boundary for $xinpartialO$ and $|f(x,A)|le C(1+|A|^p)$. We also give a precise characterization of null Lagrangians at the boundary in arbitrary dimensions. Our results explain, for instance, why $umapsto detnabla u:W^{1,n}(O;R^n)to L^1(O)$ fails to be weakly continuous. Further, we state a new weak lower semicontinuity theorem for integrands depending on null Lagrangians at the boundary. The paper closes with an example indicating that a well-known result on higher integrability of determinant cite{Mue89a} need not necessarily extend to our setting. The notion of quasiconvexity at the boundary due to J.M. Ball and J. Marsden is central to our analysis." @default.
- W2950681606 created "2019-06-27" @default.
- W2950681606 creator A5047812781 @default.
- W2950681606 creator A5086331654 @default.
- W2950681606 creator A5087293154 @default.
- W2950681606 date "2012-10-04" @default.
- W2950681606 modified "2023-09-24" @default.
- W2950681606 title "Sequential weak continuity of null Lagrangians at the boundary" @default.
- W2950681606 cites W125828351 @default.
- W2950681606 cites W1512048500 @default.
- W2950681606 cites W1572225368 @default.
- W2950681606 cites W1618847 @default.
- W2950681606 cites W1639449914 @default.
- W2950681606 cites W1976872692 @default.
- W2950681606 cites W1979349054 @default.
- W2950681606 cites W1985431669 @default.
- W2950681606 cites W1996741893 @default.
- W2950681606 cites W2014212235 @default.
- W2950681606 cites W2024268858 @default.
- W2950681606 cites W2069241221 @default.
- W2950681606 cites W2084478435 @default.
- W2950681606 cites W2088703872 @default.
- W2950681606 cites W2093256600 @default.
- W2950681606 cites W2099988620 @default.
- W2950681606 cites W2105350027 @default.
- W2950681606 cites W3183315860 @default.
- W2950681606 cites W562948871 @default.
- W2950681606 hasPublicationYear "2012" @default.
- W2950681606 type Work @default.
- W2950681606 sameAs 2950681606 @default.
- W2950681606 citedByCount "1" @default.
- W2950681606 countsByYear W29506816062013 @default.
- W2950681606 crossrefType "posted-content" @default.
- W2950681606 hasAuthorship W2950681606A5047812781 @default.
- W2950681606 hasAuthorship W2950681606A5086331654 @default.
- W2950681606 hasAuthorship W2950681606A5087293154 @default.
- W2950681606 hasConcept C114614502 @default.
- W2950681606 hasConcept C121332964 @default.
- W2950681606 hasConcept C122041747 @default.
- W2950681606 hasConcept C134306372 @default.
- W2950681606 hasConcept C203763787 @default.
- W2950681606 hasConcept C2779557605 @default.
- W2950681606 hasConcept C33923547 @default.
- W2950681606 hasConcept C37914503 @default.
- W2950681606 hasConcept C41008148 @default.
- W2950681606 hasConcept C53469067 @default.
- W2950681606 hasConcept C54207081 @default.
- W2950681606 hasConcept C62354387 @default.
- W2950681606 hasConcept C62520636 @default.
- W2950681606 hasConcept C77088390 @default.
- W2950681606 hasConceptScore W2950681606C114614502 @default.
- W2950681606 hasConceptScore W2950681606C121332964 @default.
- W2950681606 hasConceptScore W2950681606C122041747 @default.
- W2950681606 hasConceptScore W2950681606C134306372 @default.
- W2950681606 hasConceptScore W2950681606C203763787 @default.
- W2950681606 hasConceptScore W2950681606C2779557605 @default.
- W2950681606 hasConceptScore W2950681606C33923547 @default.
- W2950681606 hasConceptScore W2950681606C37914503 @default.
- W2950681606 hasConceptScore W2950681606C41008148 @default.
- W2950681606 hasConceptScore W2950681606C53469067 @default.
- W2950681606 hasConceptScore W2950681606C54207081 @default.
- W2950681606 hasConceptScore W2950681606C62354387 @default.
- W2950681606 hasConceptScore W2950681606C62520636 @default.
- W2950681606 hasConceptScore W2950681606C77088390 @default.
- W2950681606 hasLocation W29506816061 @default.
- W2950681606 hasOpenAccess W2950681606 @default.
- W2950681606 hasPrimaryLocation W29506816061 @default.
- W2950681606 hasRelatedWork W1572482621 @default.
- W2950681606 hasRelatedWork W174613478 @default.
- W2950681606 hasRelatedWork W2147874889 @default.
- W2950681606 hasRelatedWork W2242282166 @default.
- W2950681606 hasRelatedWork W2272352903 @default.
- W2950681606 hasRelatedWork W2328993046 @default.
- W2950681606 hasRelatedWork W2550276730 @default.
- W2950681606 hasRelatedWork W2759797371 @default.
- W2950681606 hasRelatedWork W2760312145 @default.
- W2950681606 hasRelatedWork W2787231071 @default.
- W2950681606 hasRelatedWork W2803585723 @default.
- W2950681606 hasRelatedWork W2950186924 @default.
- W2950681606 hasRelatedWork W2950278624 @default.
- W2950681606 hasRelatedWork W2952634281 @default.
- W2950681606 hasRelatedWork W2963067243 @default.
- W2950681606 hasRelatedWork W2963729625 @default.
- W2950681606 hasRelatedWork W3032945306 @default.
- W2950681606 hasRelatedWork W3123571241 @default.
- W2950681606 hasRelatedWork W3194235509 @default.
- W2950681606 hasRelatedWork W3198107027 @default.
- W2950681606 isParatext "false" @default.
- W2950681606 isRetracted "false" @default.
- W2950681606 magId "2950681606" @default.
- W2950681606 workType "article" @default.