Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100571930> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W3100571930 abstract "For every $f in L^N(Omega)$ defined in an open bounded subset $Omega$ of $mathbb{R}^N$, we prove that a solution $u in W_0^{1, 1}(Omega)$ of the $1$-Laplacian equation ${-}mathrm{div}{(frac{nabla u}{|nabla u|})} = f$ in $Omega$ satisfies $nabla u = 0$ on a set of positive Lebesgue measure. The same property holds if $f notin L^N(Omega)$ has small norm in the Marcinkiewicz space of weak-$L^{N}$ functions or if $u$ is a BV minimizer of the associated energy functional. The proofs rely on Stampacchia's truncation method." @default.
- W3100571930 created "2020-11-23" @default.
- W3100571930 creator A5007701203 @default.
- W3100571930 creator A5014256758 @default.
- W3100571930 date "2017-01-01" @default.
- W3100571930 modified "2023-09-28" @default.
- W3100571930 title "Flat solutions of the 1-Laplacian equation" @default.
- W3100571930 hasPublicationYear "2017" @default.
- W3100571930 type Work @default.
- W3100571930 sameAs 3100571930 @default.
- W3100571930 citedByCount "0" @default.
- W3100571930 crossrefType "journal-article" @default.
- W3100571930 hasAuthorship W3100571930A5007701203 @default.
- W3100571930 hasAuthorship W3100571930A5014256758 @default.
- W3100571930 hasConcept C114614502 @default.
- W3100571930 hasConcept C121332964 @default.
- W3100571930 hasConcept C12871628 @default.
- W3100571930 hasConcept C134306372 @default.
- W3100571930 hasConcept C14158598 @default.
- W3100571930 hasConcept C165700671 @default.
- W3100571930 hasConcept C17744445 @default.
- W3100571930 hasConcept C182310444 @default.
- W3100571930 hasConcept C191795146 @default.
- W3100571930 hasConcept C199539241 @default.
- W3100571930 hasConcept C203269682 @default.
- W3100571930 hasConcept C2777105136 @default.
- W3100571930 hasConcept C2779557605 @default.
- W3100571930 hasConcept C33923547 @default.
- W3100571930 hasConcept C34388435 @default.
- W3100571930 hasConcept C42357961 @default.
- W3100571930 hasConcept C54207081 @default.
- W3100571930 hasConcept C62520636 @default.
- W3100571930 hasConceptScore W3100571930C114614502 @default.
- W3100571930 hasConceptScore W3100571930C121332964 @default.
- W3100571930 hasConceptScore W3100571930C12871628 @default.
- W3100571930 hasConceptScore W3100571930C134306372 @default.
- W3100571930 hasConceptScore W3100571930C14158598 @default.
- W3100571930 hasConceptScore W3100571930C165700671 @default.
- W3100571930 hasConceptScore W3100571930C17744445 @default.
- W3100571930 hasConceptScore W3100571930C182310444 @default.
- W3100571930 hasConceptScore W3100571930C191795146 @default.
- W3100571930 hasConceptScore W3100571930C199539241 @default.
- W3100571930 hasConceptScore W3100571930C203269682 @default.
- W3100571930 hasConceptScore W3100571930C2777105136 @default.
- W3100571930 hasConceptScore W3100571930C2779557605 @default.
- W3100571930 hasConceptScore W3100571930C33923547 @default.
- W3100571930 hasConceptScore W3100571930C34388435 @default.
- W3100571930 hasConceptScore W3100571930C42357961 @default.
- W3100571930 hasConceptScore W3100571930C54207081 @default.
- W3100571930 hasConceptScore W3100571930C62520636 @default.
- W3100571930 hasLocation W31005719301 @default.
- W3100571930 hasOpenAccess W3100571930 @default.
- W3100571930 hasPrimaryLocation W31005719301 @default.
- W3100571930 hasRelatedWork W1120771167 @default.
- W3100571930 hasRelatedWork W1606636414 @default.
- W3100571930 hasRelatedWork W1840519093 @default.
- W3100571930 hasRelatedWork W2155965053 @default.
- W3100571930 hasRelatedWork W2171180027 @default.
- W3100571930 hasRelatedWork W2275390433 @default.
- W3100571930 hasRelatedWork W2482027638 @default.
- W3100571930 hasRelatedWork W2522176077 @default.
- W3100571930 hasRelatedWork W2804206722 @default.
- W3100571930 hasRelatedWork W2804780112 @default.
- W3100571930 hasRelatedWork W2805492972 @default.
- W3100571930 hasRelatedWork W2897878292 @default.
- W3100571930 hasRelatedWork W2950146861 @default.
- W3100571930 hasRelatedWork W2964309068 @default.
- W3100571930 hasRelatedWork W2995291102 @default.
- W3100571930 hasRelatedWork W3032802528 @default.
- W3100571930 hasRelatedWork W3036442285 @default.
- W3100571930 hasRelatedWork W3041698582 @default.
- W3100571930 hasRelatedWork W3212351567 @default.
- W3100571930 hasRelatedWork W89677995 @default.
- W3100571930 hasVolume "49" @default.
- W3100571930 isParatext "false" @default.
- W3100571930 isRetracted "false" @default.
- W3100571930 magId "3100571930" @default.
- W3100571930 workType "article" @default.