caa a22 4500 475797167 CHVBK 20180406123727.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/PL00001511 doi (NATIONALLICENCE)springer-10.1007/PL00001511 Multiple positive solutions for a nonlinear Schrödinger equation [Elektronische Daten] [Th. BartschRID="*", Z.-Q. WangRID="*"ID="*"Research supported by NATO grant CRG 970179 and DFG grant Gi 30/68-1] Abstract.: We are interested in positive entire solutions of the nonlinear Schrödinger equation $-\Delta u+(\lambda a(x)+1)u = u^p$ where a? 0 has a potential well and p > 1 is subcritical. Using variational methods we prove the existence of multiple positive solutions which localize near the potential well int(a -1(0)) for $\lambda$ large. Birkhäuser Verlag, Basel,, 2000 Key words. Nonlinear Schrödinger equation, localized solutions, potential well, singular limit nationallicence BartschRID="*" Th Mathematisches Institut, Universität Giessen, Arndtstr. 2, 35392 Giessen, Germany, DE aut WangRID="*"ID="*"Research supported by NATO grant CRG 970179 and DFG grant Gi 30/68-1 Z.-Q Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA, US aut https://doi.org/10.1007/PL00001511 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00001511 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- BartschRID="*" Th Mathematisches Institut, Universität Giessen, Arndtstr. 2, 35392 Giessen, Germany, DE aut NATIONALLICENCE 700 1- WangRID="*"ID="*"Research supported by NATO grant CRG 970179 and DFG grant Gi 30/68-1 Z.-Q Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA, US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer