TY - JOUR
T1 - Ground States for a Nonlinear Schrödinger System with Sublinear Coupling Terms
AU - Oliveira, Filipe
AU - Tavares, Hugo
N1 - Sem PDF.
The first author was partially supported by Fundacao para a Ciencia e Tecnologia, through contract UID/MAT/00297/2013. The second author was partially supported by Fundacao para a Ciencia e Tecnologia through the program Investigador FCT and the project PEst-OE/EEI/LA0009/2013, as well as by the ERC Advanced Grant 2013 no. 339958 "Complex Patterns for Strongly Interacting Dynamical Systems - COMPAT".
PY - 2016/5/1
Y1 - 2016/5/1
N2 - We study the existence of ground states for the coupled Schrödinger system -Δu i +λ i u i =μ i |u i | 2q-2 u i +j i b ij |u j | q |u i | q-2 u i ,u i H 1 (n ),i=1,...,d,$ -\Delta u-i+\lambda -i u-i= \mu -i |u-i|{2q-2}u-i+\sum -{j\ne i}b-{ij} |u-j|q|u-i|{q-2}u-i, \quad u-i\in H1(\mathbb {R}n), \quad i=1,\ldots , d, $ n ≥ 1, for λ i ,μ i >0${\lambda -i,\mu -i >0}$ , b ij =b ji >0${b-{ij}=b-{ji}>0}$ (the so-called "symmetric attractive case") and 1i∗ radially decreasing. Moreover, we show that if in addition q
AB - We study the existence of ground states for the coupled Schrödinger system -Δu i +λ i u i =μ i |u i | 2q-2 u i +j i b ij |u j | q |u i | q-2 u i ,u i H 1 (n ),i=1,...,d,$ -\Delta u-i+\lambda -i u-i= \mu -i |u-i|{2q-2}u-i+\sum -{j\ne i}b-{ij} |u-j|q|u-i|{q-2}u-i, \quad u-i\in H1(\mathbb {R}n), \quad i=1,\ldots , d, $ n ≥ 1, for λ i ,μ i >0${\lambda -i,\mu -i >0}$ , b ij =b ji >0${b-{ij}=b-{ji}>0}$ (the so-called "symmetric attractive case") and 1i∗ radially decreasing. Moreover, we show that if in addition q
KW - Coupled Nonlinear Schrödinger Systems
KW - Nehari Manifold
KW - Nontrivial Ground States
UR - http://www.scopus.com/inward/record.url?scp=84968615884&partnerID=8YFLogxK
U2 - 10.1515/ans-2015-5029
DO - 10.1515/ans-2015-5029
M3 - Article
VL - 16
SP - 381
EP - 387
JO - Advanced Nonlinear Studies
JF - Advanced Nonlinear Studies
IS - 2
ER -