New solutions for Trudinger-Moser critical equations in R-2

Simple item page
dc.contributor.authordel Pino, Manuel
dc.contributor.authorMusso, Monica
dc.contributor.authorRuf, Bernhard
dc.date.accessioned2024-01-10T13:15:31Z
dc.date.available2024-01-10T13:15:31Z
dc.date.issued2010
dc.description.abstractLet Omega be a bounded, smooth domain in R-2. We consider critical points of the Trudinger-Moser type functional J(lambda) (u) = 1/2 integral(Omega)vertical bar del u vertical bar(2) - lambda/2 integral(Omega)e(u2) in H-0(1)(Omega), namely solutions of the boundary value problem Delta u + lambda ue(u2) = 0 with homogeneous Dirichlet boundary conditions, where lambda > 0 is a small parameter. Given k >= 1 we find conditions under which there exists a solution u(lambda) which blows up at exactly k points in Omega as lambda -> 0 and J(lambda)(u(lambda)) -> 2k pi. We find that at least one such solution always exists if k = 2 and Omega is not simply connected. If Omega has d >= 1 holes, in addition d + 1 bubbling solutions with k = 1 exist. These results are existence counterparts of one by Druet in [O. Druet, Multibump analysis in dimension 2: Quantification of blow-up levels, Duke Math. J. 132 (2) (2006) 217-269] which classifies asymptotic bounded energy levels of blow-up solutions for a class of nonlinearities of critical exponential growth, including this one as a prototype case. (C) 2009 Elsevier Inc. All rights reserved.
dc.fechaingreso.objetodigital17-04-2024
dc.format.extent37 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jfa.2009.06.018
dc.identifier.eissn1096-0783
dc.identifier.issn0022-1236
dc.identifier.urihttps://doi.org/10.1016/j.jfa.2009.06.018
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78507
dc.identifier.wosidWOS:000272113100004
dc.information.autorucMatemática;Musso M;S/I;1003201
dc.issue.numero2
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final457
dc.pagina.inicio421
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaJOURNAL OF FUNCTIONAL ANALYSIS
dc.rightsacceso restringido
dc.subjectTrudinger-Moser inequality
dc.subjectBlowing-up solutions
dc.subjectSingular perturbations
dc.subjectELLIPTIC-EQUATIONS
dc.subjectSINGULAR LIMITS
dc.subjectCOMPACTNESS
dc.titleNew solutions for Trudinger-Moser critical equations in R-2
dc.typeartículo
dc.volumen258
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. New solutions for Trudinger-Moser critical equations in R-2.pdf
Size:
2.92 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Artículos de revistas