Solutions to a cubic Schrödinger system with mixed attractive and repulsive forces in a critical regime
We study the existence of solutions to the cubic Schrödinger system $ -\Delta u_i = \sum\limits_{j = 1}^m \beta_{ij} u_j^2u_i + \lambda_i u_i\ \hbox{in}\ \Omega,\ u_i = 0\ \hbox{on}\ \partial\Omega,\ i = 1,\dots,m, $ when $ \Omega $ is a bounded domain in $ \mathbb R^4, $ $ \lambda_i $ are...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2022-06-01
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| Series: | Mathematics in Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mine.2022027?viewType=HTML |