Matches in SemOpenAlex for { <https://semopenalex.org/work/W2962998916> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2962998916 endingPage "3958" @default.
- W2962998916 startingPage "3949" @default.
- W2962998916 abstract "In this paper, we determine, in the case of the Laplacian on the flat three-dimensional torus <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=left-parenthesis double-struck upper R slash double-struck upper Z right-parenthesis cubed> <mml:semantics> <mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>R</mml:mi> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>/</mml:mo> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>Z</mml:mi> </mml:mrow> <mml:msup> <mml:mo stretchy=false>)</mml:mo> <mml:mn>3</mml:mn> </mml:msup> <mml:mspace width=thinmathspace /> </mml:mrow> <mml:annotation encoding=application/x-tex>(mathbb {R}/mathbb {Z})^3,</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, all the eigenvalues having an eigenfunction which satisfies the Courant nodal domain theorem with equality (Courant-sharp situation). Following the strategy of Å. Pleijel (1956), the proof is a combination of an explicit lower bound of the counting function and a Faber–Krahn-type inequality for domains in the torus, deduced, as in the work of P. Bérard and D. Meyer (1982), from an isoperimetric inequality. This inequality relies on the work of L. Hauswirth, J. Pérez, P. Romon, and A. Ros (2004) on the periodic isoperimetric problem." @default.
- W2962998916 created "2019-07-30" @default.
- W2962998916 creator A5002986755 @default.
- W2962998916 date "2016-04-27" @default.
- W2962998916 modified "2023-10-01" @default.
- W2962998916 title "Courant-sharp eigenvalues of the three-dimensional square torus" @default.
- W2962998916 cites W1602873486 @default.
- W2962998916 cites W1964276313 @default.
- W2962998916 cites W1999528948 @default.
- W2962998916 cites W2002960883 @default.
- W2962998916 cites W2014746305 @default.
- W2962998916 cites W2146748353 @default.
- W2962998916 cites W2220533086 @default.
- W2962998916 cites W2280711031 @default.
- W2962998916 cites W2963235232 @default.
- W2962998916 cites W3104967885 @default.
- W2962998916 cites W4248586949 @default.
- W2962998916 doi "https://doi.org/10.1090/proc/13148" @default.
- W2962998916 hasPublicationYear "2016" @default.
- W2962998916 type Work @default.
- W2962998916 sameAs 2962998916 @default.
- W2962998916 citedByCount "2" @default.
- W2962998916 countsByYear W29629989162021 @default.
- W2962998916 countsByYear W29629989162022 @default.
- W2962998916 crossrefType "journal-article" @default.
- W2962998916 hasAuthorship W2962998916A5002986755 @default.
- W2962998916 hasBestOaLocation W29629989161 @default.
- W2962998916 hasConcept C11413529 @default.
- W2962998916 hasConcept C114614502 @default.
- W2962998916 hasConcept C127313418 @default.
- W2962998916 hasConcept C140142295 @default.
- W2962998916 hasConcept C151730666 @default.
- W2962998916 hasConcept C2524010 @default.
- W2962998916 hasConcept C2777299769 @default.
- W2962998916 hasConcept C33923547 @default.
- W2962998916 hasConcept C9767117 @default.
- W2962998916 hasConceptScore W2962998916C11413529 @default.
- W2962998916 hasConceptScore W2962998916C114614502 @default.
- W2962998916 hasConceptScore W2962998916C127313418 @default.
- W2962998916 hasConceptScore W2962998916C140142295 @default.
- W2962998916 hasConceptScore W2962998916C151730666 @default.
- W2962998916 hasConceptScore W2962998916C2524010 @default.
- W2962998916 hasConceptScore W2962998916C2777299769 @default.
- W2962998916 hasConceptScore W2962998916C33923547 @default.
- W2962998916 hasConceptScore W2962998916C9767117 @default.
- W2962998916 hasFunder F4320320883 @default.
- W2962998916 hasIssue "9" @default.
- W2962998916 hasLocation W29629989161 @default.
- W2962998916 hasLocation W29629989162 @default.
- W2962998916 hasLocation W29629989163 @default.
- W2962998916 hasOpenAccess W2962998916 @default.
- W2962998916 hasPrimaryLocation W29629989161 @default.
- W2962998916 hasRelatedWork W1551555658 @default.
- W2962998916 hasRelatedWork W1978042415 @default.
- W2962998916 hasRelatedWork W2047143635 @default.
- W2962998916 hasRelatedWork W2064241263 @default.
- W2962998916 hasRelatedWork W2139623322 @default.
- W2962998916 hasRelatedWork W2320186039 @default.
- W2962998916 hasRelatedWork W2906013357 @default.
- W2962998916 hasRelatedWork W2952492560 @default.
- W2962998916 hasRelatedWork W2973317480 @default.
- W2962998916 hasRelatedWork W4300632873 @default.
- W2962998916 hasVolume "144" @default.
- W2962998916 isParatext "false" @default.
- W2962998916 isRetracted "false" @default.
- W2962998916 magId "2962998916" @default.
- W2962998916 workType "article" @default.