2020
DOI: 10.1016/j.matpur.2020.07.012
|View full text |Cite
|
Sign up to set email alerts
|

Ground states of nonlinear Schrödinger systems with mixed couplings

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4
1

Citation Types

1
19
0

Year Published

2020
2020
2023
2023

Publication Types

Select...
7

Relationship

1
6

Authors

Journals

citations
Cited by 53 publications
(20 citation statements)
references
References 55 publications
1
19
0
Order By: Relevance
“…In [39,40], by dividing the d components into m groups, the authors proved that system (1.1) has a least energy positive solution under appropriate assumptions on β ij . Other related and recent results in the subcritical case can be found in [14,15,16,18,29,31,47] and references, where we stress that the first two mentioned papers deal with a general p.…”
Section: Introductionmentioning
confidence: 99%
“…In [39,40], by dividing the d components into m groups, the authors proved that system (1.1) has a least energy positive solution under appropriate assumptions on β ij . Other related and recent results in the subcritical case can be found in [14,15,16,18,29,31,47] and references, where we stress that the first two mentioned papers deal with a general p.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, we mention the works of Chen and Zou 9 and Li and Tang, 10 they generalized and improved some results of Ambrosetti, Cerami and Ruiz 7 . Related studies with those presented above can be found in Ambrosetti, Colorado and Ruiz, 11 Chen and Zou, 12 Liu and Wang, 13 Maia, Ruviaro and Moura, 14 Wei and Wu, 15 and Zhang and Zhang 16 . We would like to point out that most of the above works considered the cases that the nonlinear terms have subcritical or critical‐type polynomial growth in the sense of Sobolev embedding.…”
Section: Introductionmentioning
confidence: 72%
“…As far as we know, there are some results about the existence and nonexistence of ground state solution. J. Wei and Y. Wu [28] gave an (almost) complete study on the existence and nonexistence of ground state solution with different Morse indices of (2.1) under different conditions by the idea of block decomposition and measure the total interaction between different blocks for 3-coupled system when the system admits mixed couplings.…”
Section: Statement Of Main Resultsmentioning
confidence: 99%
“…Inspired by the above-mentioned works, especially by [14,22,28], in this paper our goal is two-folds. One is to give a complete classification of ground state solution with different Morse indices for three-coupled Schrödinger system under suitable conditions.…”
Section: Introductionmentioning
confidence: 99%