Large energy entire solutions for the Yamabe equation

Simple item page
dc.contributor.authordel Pino, Manuel
dc.contributor.authorMusso, Monica
dc.contributor.authorPacard, Frank
dc.contributor.authorPistoia, Angela
dc.date.accessioned2024-01-10T13:14:18Z
dc.date.available2024-01-10T13:14:18Z
dc.date.issued2011
dc.description.abstractWe consider the Yamabe equation Delta u + n(n-2_/4 vertical bar u vertical bar 4/n-2 u = 0 in R(n), n >= 3. Let k >= 1 and xi(k)(j) = (e(2j pi u/k), 0) is an element of R(n) = C x R(n-2). For all large k we find a solution of the form u(k)(x)= u(x) - Sigma(k)(j=1) mu(k) (-n-2/2) U X (mu(-1)(k) (x - xi(j)) +o(1), where U(x) = (2/1+vertical bar x vertical bar(2)) (n-2/2), mu(k) = c(n)/k(2) for n >= 4, mu k = c/k(2)(logk)(2) for n =3 and o(1) -> 0 uniformly as k -> +infinity. (C) 2011 Elsevier Inc. All rights reserved.
dc.description.funderFondecyt
dc.description.funderFondo Basal CMM
dc.description.funderCAPDE-Anillo
dc.description.funderMi.U.R. National Project Metodi variazionali e topologici nello studio di fenomeni non lineari
dc.fechaingreso.objetodigital17-04-2024
dc.format.extent30 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jde.2011.03.008
dc.identifier.issn0022-0396
dc.identifier.urihttps://doi.org/10.1016/j.jde.2011.03.008
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78393
dc.identifier.wosidWOS:000294377500009
dc.information.autorucMatemática;Musso M ;S/I;1003201
dc.issue.numero9
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final2597
dc.pagina.inicio2568
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaJOURNAL OF DIFFERENTIAL EQUATIONS
dc.rightsacceso restringido
dc.subjectCRITICAL SOBOLEV GROWTH
dc.subjectGLOBAL WELL-POSEDNESS
dc.subjectELLIPTIC-EQUATIONS
dc.subjectBLOW-UP
dc.subjectSCATTERING
dc.titleLarge energy entire solutions for the Yamabe equation
dc.typeartículo
dc.volumen251
sipa.codpersvinculados1003201
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
2024-04-17. Large energy entire solutions for the Yamabe equation.pdf
Size:
2.39 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Artículos de revistas