Matches in SemOpenAlex for { <https://semopenalex.org/work/W2155671505> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2155671505 endingPage "41" @default.
- W2155671505 startingPage "23" @default.
- W2155671505 abstract "Let $$mathbb {B}$$ be the unit disc in $$mathbb {R}^2$$ , $$mathscr {H}$$ be the completion of $$C_0^infty (mathbb {B})$$ under the norm $$begin{aligned} Vert uVert _{mathscr {H}}=left( int _mathbb {B}|nabla u|^2,hbox {d}x-int _mathbb {B}frac{u^2}{(1-|x|^2)^2},hbox {d}xright) ^{1/2},quad forall uin C_0^infty (mathbb {B}). end{aligned}$$ Denote $$lambda _1(mathbb {B})=inf _{uin mathscr {H},,Vert uVert _2=1}Vert uVert _{mathscr {H}}^2$$ , where $$Vert cdot Vert _2$$ stands for the $$L^2(mathbb {B})$$ -norm. Using blow-up analysis, we prove that for any $$alpha $$ , $$0le alpha <lambda _1(mathbb {B})$$ , $$begin{aligned} sup _{uin mathscr {H},,Vert uVert _{mathscr {H}}^2-alpha Vert uVert _2^2le 1}int _mathbb {B} hbox {e}^{4pi u^2},hbox {d}x<+infty , end{aligned}$$ and that the above supremum can be attained by some function $$uin mathscr {H}$$ with $$Vert uVert _{mathscr {H}}^2-alpha Vert uVert _2^2= 1$$ . This improves an earlier result of Wang and Ye (Adv Math 230:294–320, 2012)." @default.
- W2155671505 created "2016-06-24" @default.
- W2155671505 creator A5012084109 @default.
- W2155671505 creator A5088296301 @default.
- W2155671505 date "2015-09-25" @default.
- W2155671505 modified "2023-09-29" @default.
- W2155671505 title "An improved Hardy–Trudinger–Moser inequality" @default.
- W2155671505 cites W1665956415 @default.
- W2155671505 cites W1866311589 @default.
- W2155671505 cites W1949063937 @default.
- W2155671505 cites W1963762428 @default.
- W2155671505 cites W1964959195 @default.
- W2155671505 cites W1986920646 @default.
- W2155671505 cites W2010032532 @default.
- W2155671505 cites W2015647999 @default.
- W2155671505 cites W2052287890 @default.
- W2155671505 cites W2053091513 @default.
- W2155671505 cites W2064213279 @default.
- W2155671505 cites W2081039543 @default.
- W2155671505 cites W2083444755 @default.
- W2155671505 cites W2169484370 @default.
- W2155671505 cites W2324226043 @default.
- W2155671505 cites W2527520505 @default.
- W2155671505 cites W2962994593 @default.
- W2155671505 cites W2963021818 @default.
- W2155671505 cites W2963823523 @default.
- W2155671505 cites W4234846287 @default.
- W2155671505 doi "https://doi.org/10.1007/s10455-015-9478-9" @default.
- W2155671505 hasPublicationYear "2015" @default.
- W2155671505 type Work @default.
- W2155671505 sameAs 2155671505 @default.
- W2155671505 citedByCount "13" @default.
- W2155671505 countsByYear W21556715052016 @default.
- W2155671505 countsByYear W21556715052017 @default.
- W2155671505 countsByYear W21556715052018 @default.
- W2155671505 countsByYear W21556715052019 @default.
- W2155671505 countsByYear W21556715052020 @default.
- W2155671505 countsByYear W21556715052022 @default.
- W2155671505 countsByYear W21556715052023 @default.
- W2155671505 crossrefType "journal-article" @default.
- W2155671505 hasAuthorship W2155671505A5012084109 @default.
- W2155671505 hasAuthorship W2155671505A5088296301 @default.
- W2155671505 hasBestOaLocation W21556715052 @default.
- W2155671505 hasConcept C114614502 @default.
- W2155671505 hasConcept C121332964 @default.
- W2155671505 hasConcept C2779557605 @default.
- W2155671505 hasConcept C33923547 @default.
- W2155671505 hasConcept C54207081 @default.
- W2155671505 hasConcept C62520636 @default.
- W2155671505 hasConceptScore W2155671505C114614502 @default.
- W2155671505 hasConceptScore W2155671505C121332964 @default.
- W2155671505 hasConceptScore W2155671505C2779557605 @default.
- W2155671505 hasConceptScore W2155671505C33923547 @default.
- W2155671505 hasConceptScore W2155671505C54207081 @default.
- W2155671505 hasConceptScore W2155671505C62520636 @default.
- W2155671505 hasIssue "1" @default.
- W2155671505 hasLocation W21556715051 @default.
- W2155671505 hasLocation W21556715052 @default.
- W2155671505 hasOpenAccess W2155671505 @default.
- W2155671505 hasPrimaryLocation W21556715051 @default.
- W2155671505 hasRelatedWork W1995800789 @default.
- W2155671505 hasRelatedWork W2100690540 @default.
- W2155671505 hasRelatedWork W217392239 @default.
- W2155671505 hasRelatedWork W2612850559 @default.
- W2155671505 hasRelatedWork W2626435100 @default.
- W2155671505 hasRelatedWork W3000044441 @default.
- W2155671505 hasRelatedWork W3112745479 @default.
- W2155671505 hasRelatedWork W3177761684 @default.
- W2155671505 hasRelatedWork W4321505384 @default.
- W2155671505 hasRelatedWork W4323343612 @default.
- W2155671505 hasVolume "49" @default.
- W2155671505 isParatext "false" @default.
- W2155671505 isRetracted "false" @default.
- W2155671505 magId "2155671505" @default.
- W2155671505 workType "article" @default.