Matches in SemOpenAlex for { <https://semopenalex.org/work/W2093375972> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2093375972 endingPage "379" @default.
- W2093375972 startingPage "351" @default.
- W2093375972 abstract "We establish a new Pohozaev-type identity and use it to prove a theorem on the uniqueness of positive radial solutions to the quasilinear elliptic problem div(|∇u|m−2emsp14;∇u)+f(u)=0 inB, andu=0 on ∂B, whereBis a finite ball in Rn,n⩾3 and 1<m⩽n. Applying this main uniqueness result we can prove that the semilinear problemΔu+μup+uq=0 inB, andu=0 on ∂B, whereμ>0 and 1⩽p<q⩽(n+2)/(n−2), has a unique positive solution whenn⩾6. This gives a complete answer to an open problem raised by Brezis and Nirenberg in 1983 in the casen⩾6. We shall also derive some partial results to the open problem in the casesn=3, 4, 5." @default.
- W2093375972 created "2016-06-24" @default.
- W2093375972 creator A5018703593 @default.
- W2093375972 creator A5030645291 @default.
- W2093375972 date "1997-08-01" @default.
- W2093375972 modified "2023-09-28" @default.
- W2093375972 title "Uniqueness Theorems for Positive Radial Solutions of Quasilinear Elliptic Equations in a Ball" @default.
- W2093375972 cites W1569964927 @default.
- W2093375972 cites W1645767624 @default.
- W2093375972 cites W1971142210 @default.
- W2093375972 cites W1973494431 @default.
- W2093375972 cites W1977212986 @default.
- W2093375972 cites W1982071274 @default.
- W2093375972 cites W1982357817 @default.
- W2093375972 cites W1982931837 @default.
- W2093375972 cites W1996612800 @default.
- W2093375972 cites W2002740717 @default.
- W2093375972 cites W2017359108 @default.
- W2093375972 cites W2017883469 @default.
- W2093375972 cites W2026993669 @default.
- W2093375972 cites W2038928461 @default.
- W2093375972 cites W2041417142 @default.
- W2093375972 cites W2048880836 @default.
- W2093375972 cites W2051449318 @default.
- W2093375972 cites W2076084465 @default.
- W2093375972 cites W2087663978 @default.
- W2093375972 cites W2092795994 @default.
- W2093375972 cites W2163482762 @default.
- W2093375972 cites W2246285457 @default.
- W2093375972 cites W2325412313 @default.
- W2093375972 cites W2487188010 @default.
- W2093375972 cites W4255703045 @default.
- W2093375972 doi "https://doi.org/10.1006/jdeq.1997.3279" @default.
- W2093375972 hasPublicationYear "1997" @default.
- W2093375972 type Work @default.
- W2093375972 sameAs 2093375972 @default.
- W2093375972 citedByCount "67" @default.
- W2093375972 countsByYear W20933759722012 @default.
- W2093375972 countsByYear W20933759722014 @default.
- W2093375972 countsByYear W20933759722015 @default.
- W2093375972 countsByYear W20933759722016 @default.
- W2093375972 countsByYear W20933759722018 @default.
- W2093375972 countsByYear W20933759722020 @default.
- W2093375972 countsByYear W20933759722021 @default.
- W2093375972 countsByYear W20933759722022 @default.
- W2093375972 crossrefType "journal-article" @default.
- W2093375972 hasAuthorship W2093375972A5018703593 @default.
- W2093375972 hasAuthorship W2093375972A5030645291 @default.
- W2093375972 hasBestOaLocation W20933759721 @default.
- W2093375972 hasConcept C122041747 @default.
- W2093375972 hasConcept C134306372 @default.
- W2093375972 hasConcept C155940 @default.
- W2093375972 hasConcept C179603306 @default.
- W2093375972 hasConcept C192454065 @default.
- W2093375972 hasConcept C202444582 @default.
- W2093375972 hasConcept C2777021972 @default.
- W2093375972 hasConcept C33923547 @default.
- W2093375972 hasConceptScore W2093375972C122041747 @default.
- W2093375972 hasConceptScore W2093375972C134306372 @default.
- W2093375972 hasConceptScore W2093375972C155940 @default.
- W2093375972 hasConceptScore W2093375972C179603306 @default.
- W2093375972 hasConceptScore W2093375972C192454065 @default.
- W2093375972 hasConceptScore W2093375972C202444582 @default.
- W2093375972 hasConceptScore W2093375972C2777021972 @default.
- W2093375972 hasConceptScore W2093375972C33923547 @default.
- W2093375972 hasIssue "2" @default.
- W2093375972 hasLocation W20933759721 @default.
- W2093375972 hasOpenAccess W2093375972 @default.
- W2093375972 hasPrimaryLocation W20933759721 @default.
- W2093375972 hasRelatedWork W2010571364 @default.
- W2093375972 hasRelatedWork W2047998396 @default.
- W2093375972 hasRelatedWork W2095132479 @default.
- W2093375972 hasRelatedWork W2098586728 @default.
- W2093375972 hasRelatedWork W2320758659 @default.
- W2093375972 hasRelatedWork W2325254006 @default.
- W2093375972 hasRelatedWork W2350012146 @default.
- W2093375972 hasRelatedWork W2765396127 @default.
- W2093375972 hasRelatedWork W3161443230 @default.
- W2093375972 hasRelatedWork W4226101702 @default.
- W2093375972 hasVolume "138" @default.
- W2093375972 isParatext "false" @default.
- W2093375972 isRetracted "false" @default.
- W2093375972 magId "2093375972" @default.
- W2093375972 workType "article" @default.