Large energy entire solutions for the Yamabe equation

dc.creator	del Pino, Manuel
dc.creator	Musso, Monica
dc.creator	Pacard, Frank
dc.creator	Pistoia, Angela
dc.date.accessioned	2024-01-10T13:14:18Z
dc.date.accessioned	2024-05-02T15:50:50Z
dc.date.available	2024-01-10T13:14:18Z
dc.date.available	2024-05-02T15:50:50Z
dc.date.created	2024-01-10T13:14:18Z
dc.date.issued	2011
dc.identifier	10.1016/j.jde.2011.03.008
dc.identifier	0022-0396
dc.identifier	https://doi.org/10.1016/j.jde.2011.03.008
dc.identifier	https://repositorio.uc.cl/handle/11534/78393
dc.identifier	WOS:000294377500009
dc.identifier.uri	https://repositorioslatinoamericanos.uchile.cl/handle/2250/9265384
dc.description.abstract	We 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.language	en
dc.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE
dc.rights	acceso restringido
dc.subject	CRITICAL SOBOLEV GROWTH
dc.subject	GLOBAL WELL-POSEDNESS
dc.subject	ELLIPTIC-EQUATIONS
dc.subject	BLOW-UP
dc.subject	SCATTERING
dc.title	Large energy entire solutions for the Yamabe equation
dc.type	artículo