Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949674016> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W2949674016 abstract "We study the asymptotic behavior, as $lambda rightarrow 0$, of least energy radial sign-changing solutions $u_lambda$, of the Brezis-Nirenberg problem begin{equation*} begin{cases} -Delta u = lambda u + |u|^{2^* -2}u & hbox{in} B_1 u=0 & hbox{on} partial B_1, end{cases} end{equation*} where $lambda >0$, $2^*=frac{2n}{n-2}$ and $B_1$ is the unit ball of $R^n$, $ngeq 7$. We prove that both the positive and negative part $u_lambda^+$ and $u_lambda^-$ concentrate at the same point (which is the center) of the ball with different concentration speeds. Moreover we show that suitable rescalings of $u_lambda^+$ and $u_lambda^-$ converge to the unique positive regular solution of the critical exponent problem in $R^n$. Precise estimates of the blow-up rate of $|u_lambda^pm|_{infty}$ are given, as well as asymptotic relations between $|u_lambda^pm|_{infty}$ and the nodal radius $r_lambda$. Finally we prove that, up to constant, $lambda^{-frac{n-2}{2n-8}} u_lambda$ converges in $C_{loc}^1(B_1-{0})$ to $G(x,0)$, where $G(x,y)$ is the Green function of the Laplacian in the unit ball." @default.
- W2949674016 created "2019-06-27" @default.
- W2949674016 creator A5061353579 @default.
- W2949674016 date "2013-12-20" @default.
- W2949674016 modified "2023-09-27" @default.
- W2949674016 title "Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem" @default.
- W2949674016 cites W1543548872 @default.
- W2949674016 cites W1958084424 @default.
- W2949674016 cites W1971142210 @default.
- W2949674016 cites W1989493450 @default.
- W2949674016 cites W1994484892 @default.
- W2949674016 cites W1995187531 @default.
- W2949674016 cites W2038928461 @default.
- W2949674016 cites W2057200865 @default.
- W2949674016 cites W2065561490 @default.
- W2949674016 cites W2103821129 @default.
- W2949674016 cites W2246285457 @default.
- W2949674016 cites W23481374 @default.
- W2949674016 cites W2950506194 @default.
- W2949674016 cites W60838321 @default.
- W2949674016 hasPublicationYear "2013" @default.
- W2949674016 type Work @default.
- W2949674016 sameAs 2949674016 @default.
- W2949674016 citedByCount "0" @default.
- W2949674016 crossrefType "posted-content" @default.
- W2949674016 hasAuthorship W2949674016A5061353579 @default.
- W2949674016 hasConcept C114614502 @default.
- W2949674016 hasConcept C121332964 @default.
- W2949674016 hasConcept C122041747 @default.
- W2949674016 hasConcept C134306372 @default.
- W2949674016 hasConcept C138885662 @default.
- W2949674016 hasConcept C139676723 @default.
- W2949674016 hasConcept C178635117 @default.
- W2949674016 hasConcept C191948623 @default.
- W2949674016 hasConcept C2775913539 @default.
- W2949674016 hasConcept C2778113609 @default.
- W2949674016 hasConcept C2780388253 @default.
- W2949674016 hasConcept C33923547 @default.
- W2949674016 hasConcept C37914503 @default.
- W2949674016 hasConcept C38652104 @default.
- W2949674016 hasConcept C41008148 @default.
- W2949674016 hasConcept C41895202 @default.
- W2949674016 hasConcept C62520636 @default.
- W2949674016 hasConceptScore W2949674016C114614502 @default.
- W2949674016 hasConceptScore W2949674016C121332964 @default.
- W2949674016 hasConceptScore W2949674016C122041747 @default.
- W2949674016 hasConceptScore W2949674016C134306372 @default.
- W2949674016 hasConceptScore W2949674016C138885662 @default.
- W2949674016 hasConceptScore W2949674016C139676723 @default.
- W2949674016 hasConceptScore W2949674016C178635117 @default.
- W2949674016 hasConceptScore W2949674016C191948623 @default.
- W2949674016 hasConceptScore W2949674016C2775913539 @default.
- W2949674016 hasConceptScore W2949674016C2778113609 @default.
- W2949674016 hasConceptScore W2949674016C2780388253 @default.
- W2949674016 hasConceptScore W2949674016C33923547 @default.
- W2949674016 hasConceptScore W2949674016C37914503 @default.
- W2949674016 hasConceptScore W2949674016C38652104 @default.
- W2949674016 hasConceptScore W2949674016C41008148 @default.
- W2949674016 hasConceptScore W2949674016C41895202 @default.
- W2949674016 hasConceptScore W2949674016C62520636 @default.
- W2949674016 hasLocation W29496740161 @default.
- W2949674016 hasOpenAccess W2949674016 @default.
- W2949674016 hasPrimaryLocation W29496740161 @default.
- W2949674016 hasRelatedWork W1991634123 @default.
- W2949674016 hasRelatedWork W2114493550 @default.
- W2949674016 hasRelatedWork W2140999446 @default.
- W2949674016 hasRelatedWork W2254526403 @default.
- W2949674016 hasRelatedWork W2314960433 @default.
- W2949674016 hasRelatedWork W2600675994 @default.
- W2949674016 hasRelatedWork W2623390746 @default.
- W2949674016 hasRelatedWork W2784148184 @default.
- W2949674016 hasRelatedWork W2904541372 @default.
- W2949674016 hasRelatedWork W2944896774 @default.
- W2949674016 hasRelatedWork W2946030607 @default.
- W2949674016 hasRelatedWork W2951274846 @default.
- W2949674016 hasRelatedWork W2953152735 @default.
- W2949674016 hasRelatedWork W3016849761 @default.
- W2949674016 hasRelatedWork W3037948850 @default.
- W2949674016 hasRelatedWork W3086135246 @default.
- W2949674016 hasRelatedWork W3118727346 @default.
- W2949674016 hasRelatedWork W3169454806 @default.
- W2949674016 hasRelatedWork W3185772551 @default.
- W2949674016 hasRelatedWork W3192715325 @default.
- W2949674016 isParatext "false" @default.
- W2949674016 isRetracted "false" @default.
- W2949674016 magId "2949674016" @default.
- W2949674016 workType "article" @default.