TY - JOUR
T1 - Multi-bump standing waves with critical frequency for nonlinear Schrödinger equations
AU - Byeon, Jaeyoung
AU - Oshita, Yoshihito
N1 - Funding Information:
The first author was supported by Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (grant 2009-0094068).
PY - 2010
Y1 - 2010
N2 - We glue together standing wave solutions concentrating around critical points of the potential V with different energy scales. We devise a hybrid method using simultaneously a Lyapunov-Schmidt reduction method and a variational method to glue together standing waves concentrating on local minimum points which possibly have no corresponding limiting equations and those concentrating on general critical points which converge to solutions of corresponding limiting problems satisfying a non-degeneracy condition.
AB - We glue together standing wave solutions concentrating around critical points of the potential V with different energy scales. We devise a hybrid method using simultaneously a Lyapunov-Schmidt reduction method and a variational method to glue together standing waves concentrating on local minimum points which possibly have no corresponding limiting equations and those concentrating on general critical points which converge to solutions of corresponding limiting problems satisfying a non-degeneracy condition.
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U2 - 10.1016/j.anihpc.2010.04.002
DO - 10.1016/j.anihpc.2010.04.002
M3 - Article
AN - SCOPUS:77954212416
SN - 0294-1449
VL - 27
SP - 1121
EP - 1152
JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
IS - 4
ER -