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Bose–Einstein Condensation and Non-Existence Solution: Differential Equation Approach
Khalid A. Abdul-Zahra,
Zeev Sobol 
Memoirs on Differential Equations and Mathematical Physics, Volume: 96, Pages: 1 - 28
Swansea University Author:
Zeev Sobol
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Abstract
In this work, we study the non-existence of a solution to an eigenvalue problem for the Gross–Pitaevskii equation for Bose–Einstein condensation with repulsive interaction and a trapping potential given as Borel regular measure which vanishes at infinity in some sense. By differential equation appro...
| Published in: | Memoirs on Differential Equations and Mathematical Physics |
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| ISSN: | 1512-0015 |
| Published: |
Razmadze Mathematical Institute
2025
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa70550 |
| Abstract: |
In this work, we study the non-existence of a solution to an eigenvalue problem for the Gross–Pitaevskii equation for Bose–Einstein condensation with repulsive interaction and a trapping potential given as Borel regular measure which vanishes at infinity in some sense. By differential equation approach, we obtain various results on the nonexistence of the eigenvalue problem. Some celebrated Hardy type inequalities are obtained. |
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| Item Description: |
http://www.jeomj.rmi.ge/memoirs/vol96/contents.htm |
| Keywords: |
Bose–Einstein condensate, Hardy inequality, killing potential Technique, Pokhozhaev’s test function |
| College: |
Faculty of Science and Engineering |
| Start Page: |
1 |
| End Page: |
28 |