We study a Schrödinger system with the sum of linear and nonlinear couplings. Applying index theory, we obtain infinitely many solutions for the system with periodic potentials. Moreover, by using the concentration compactness method, we prove the existence and nonexistence of ground state solutions for the system with close-to-periodic potentials.
Xueliang DUAN
,
Gongming WEI
,
Haitao YANG
. POSITIVE SOLUTIONS AND INFINITELY MANY SOLUTIONS FOR A WEAKLY COUPLED SYSTEM[J]. Acta mathematica scientia, Series B, 2020
, 40(5)
: 1585
-1601
.
DOI: 10.1007/s10473-020-0523-9
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