Matches in SemOpenAlex for { <https://semopenalex.org/work/W3204193367> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W3204193367 abstract "Abstract Let $$Omega subset mathbb {R}^n$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>Ω</mml:mi> <mml:mo>⊂</mml:mo> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> </mml:math> , $$nge 2$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> , be a non-empty, bounded, open and convex set and let f be a positive and non-increasing function depending only on the distance from the boundary of $$Omega $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>Ω</mml:mi> </mml:math> . We consider the p -torsional rigidity associated to $$Omega $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>Ω</mml:mi> </mml:math> for the Poisson problem with Dirichlet boundary conditions, denoted by $$T_{f,p}(Omega )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>T</mml:mi> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo>,</mml:mo> <mml:mi>p</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>Ω</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> . Firstly, we prove a Pólya type lower bound for $$T_{f,p}(Omega )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>T</mml:mi> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo>,</mml:mo> <mml:mi>p</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>Ω</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> in any dimension; then, we consider the planar case and we provide two quantitative estimates in the case $$fequiv 1 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo>≡</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> ." @default.
- W3204193367 created "2021-10-11" @default.
- W3204193367 creator A5005377040 @default.
- W3204193367 creator A5007879629 @default.
- W3204193367 creator A5028038505 @default.
- W3204193367 creator A5035047639 @default.
- W3204193367 date "2022-12-12" @default.
- W3204193367 modified "2023-10-14" @default.
- W3204193367 title "Sharp and quantitative estimates for the p-Torsion of convex sets" @default.
- W3204193367 cites W1560993323 @default.
- W3204193367 cites W2086886151 @default.
- W3204193367 cites W2137595244 @default.
- W3204193367 cites W2159050424 @default.
- W3204193367 cites W2338172022 @default.
- W3204193367 cites W2618496275 @default.
- W3204193367 cites W2990973433 @default.
- W3204193367 cites W3093637110 @default.
- W3204193367 cites W3113021903 @default.
- W3204193367 cites W3124694367 @default.
- W3204193367 cites W4229690478 @default.
- W3204193367 doi "https://doi.org/10.1007/s00030-022-00822-y" @default.
- W3204193367 hasPublicationYear "2022" @default.
- W3204193367 type Work @default.
- W3204193367 sameAs 3204193367 @default.
- W3204193367 citedByCount "0" @default.
- W3204193367 crossrefType "journal-article" @default.
- W3204193367 hasAuthorship W3204193367A5005377040 @default.
- W3204193367 hasAuthorship W3204193367A5007879629 @default.
- W3204193367 hasAuthorship W3204193367A5028038505 @default.
- W3204193367 hasAuthorship W3204193367A5035047639 @default.
- W3204193367 hasBestOaLocation W32041933671 @default.
- W3204193367 hasConcept C11413529 @default.
- W3204193367 hasConcept C154945302 @default.
- W3204193367 hasConcept C41008148 @default.
- W3204193367 hasConceptScore W3204193367C11413529 @default.
- W3204193367 hasConceptScore W3204193367C154945302 @default.
- W3204193367 hasConceptScore W3204193367C41008148 @default.
- W3204193367 hasFunder F4320308269 @default.
- W3204193367 hasFunder F4320333369 @default.
- W3204193367 hasIssue "1" @default.
- W3204193367 hasLocation W32041933671 @default.
- W3204193367 hasLocation W32041933672 @default.
- W3204193367 hasOpenAccess W3204193367 @default.
- W3204193367 hasPrimaryLocation W32041933671 @default.
- W3204193367 hasRelatedWork W2051487156 @default.
- W3204193367 hasRelatedWork W2052122378 @default.
- W3204193367 hasRelatedWork W2053286651 @default.
- W3204193367 hasRelatedWork W2073681303 @default.
- W3204193367 hasRelatedWork W2317200988 @default.
- W3204193367 hasRelatedWork W2544423928 @default.
- W3204193367 hasRelatedWork W2947381795 @default.
- W3204193367 hasRelatedWork W2181413294 @default.
- W3204193367 hasRelatedWork W2181743346 @default.
- W3204193367 hasRelatedWork W2187401768 @default.
- W3204193367 hasVolume "30" @default.
- W3204193367 isParatext "false" @default.
- W3204193367 isRetracted "false" @default.
- W3204193367 magId "3204193367" @default.
- W3204193367 workType "article" @default.