Standing waves for supercritical nonlinear Schrodinger equations
dc.creator | Davila, Juan | |
dc.creator | del Pino, Manuel | |
dc.creator | Musso, Monica | |
dc.creator | Wei, Juncheng | |
dc.date.accessioned | 2024-01-10T12:43:00Z | |
dc.date.accessioned | 2024-05-02T16:49:52Z | |
dc.date.available | 2024-01-10T12:43:00Z | |
dc.date.available | 2024-05-02T16:49:52Z | |
dc.date.created | 2024-01-10T12:43:00Z | |
dc.date.issued | 2007 | |
dc.identifier | 10.1016/j.jde.2007.01.016 | |
dc.identifier | 1090-2732 | |
dc.identifier | 0022-0396 | |
dc.identifier | https://doi.org/10.1016/j.jde.2007.01.016 | |
dc.identifier | https://repositorio.uc.cl/handle/11534/77558 | |
dc.identifier | WOS:000246347600007 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/9267181 | |
dc.description.abstract | Let V (x) be a non-negative, bounded potential in R-N, N >= 3 and p supercritical, p > N+2/N-2. We look for positive solutions of the standing-wave nonlinear Schrodinger equation Delta u - V(x)u + u(P) = 0 in R-N, with u(x) -> 0 as vertical bar x vertical bar -> +infinity. We prove that if V(x) = 0(vertical bar x vertical bar(-2)) as vertical bar x vertical bar -> +infinity, then for N >= 4 and p > N+1/N-3 this problem admits a continuum of solutions. If in addition we have, for instance, V (x) = 0 (vertical bar x vertical bar-mu) with mu > N, then this result still holds provided that N >= 3 and p > N+2/N-2. Other conditions for solvability, involving behavior of V at infinity, are also provided. (C) 2007 Elsevier Inc. All rights reserved. | |
dc.language | en | |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | |
dc.rights | acceso restringido | |
dc.subject | BOUND-STATES | |
dc.subject | SEMICLASSICAL STATES | |
dc.subject | ELLIPTIC PROBLEMS | |
dc.subject | GROUND-STATES | |
dc.subject | R-N | |
dc.subject | EXISTENCE | |
dc.subject | POTENTIALS | |
dc.subject | STABILITY | |
dc.subject | V(INFINITY)=0 | |
dc.subject | INFINITY | |
dc.title | Standing waves for supercritical nonlinear Schrodinger equations | |
dc.type | artículo |