Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs
Journal of Mathematical Analysis and Applications, ISSN: 0022-247X, Vol: 530, Issue: 1, Page: 127672
2024
- 2Citations
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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- Citations2
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Article Description
We investigate the existence of ground states for the nonlinear Schrödinger equation with combined local L2 -critical and subcritical nonlinearities on noncompact metric graphs. The interplay of the combined local nonlinearities creates some new phenomena. Precisely, we show that the existence (or nonexistence) of ground states mainly depends on the topological and metric properties of the noncompact metric graphs. Our results rely on the Concentration-compactness principle and an application of Gagliardo-Nirenberg inequalities.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0022247X23006753; http://dx.doi.org/10.1016/j.jmaa.2023.127672; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85168349461&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0022247X23006753; https://dx.doi.org/10.1016/j.jmaa.2023.127672
Elsevier BV
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