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Vortex Solutions to Mass‐Supercritical Gross–Pitaevskii Equations.

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Τίτλος: Vortex Solutions to Mass‐Supercritical Gross–Pitaevskii Equations.
Συγγραφείς: Long, Wei1 (AUTHOR), Lu, Shuyao1 (AUTHOR), Yang, Jinge2 (AUTHOR) jgyang2007@yeah.net
Πηγή: Studies in Applied Mathematics. Sep2026, Vol. 157 Issue 3, p1-38. 38p.
Θεματικοί όροι: Gross-Pitaevskii equations, Mathematical singularities, Vortex motion, Uniqueness (Mathematics)
Περίληψη: This paper focuses on normalized vortex solutions of mass‐supercritical Gross–Pitaevskii equations with a harmonic potential. We prove regularity, mass concentration, and uniqueness of vortex solutions. The primary challenge lies in addressing the singularities at the origin and infinity, which arise from the combined effects of the vortex and the harmonic potential. [ABSTRACT FROM AUTHOR]
Copyright of Studies in Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Vortex Solutions to Mass‐Supercritical Gross–Pitaevskii Equations.
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  Data: <searchLink fieldCode="AR" term="%22Long%2C+Wei%22">Long, Wei</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lu%2C+Shuyao%22">Lu, Shuyao</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yang%2C+Jinge%22">Yang, Jinge</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> jgyang2007@yeah.net</i>
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  Data: <searchLink fieldCode="JN" term="%22Studies+in+Applied+Mathematics%22">Studies in Applied Mathematics</searchLink>. Sep2026, Vol. 157 Issue 3, p1-38. 38p.
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  Data: <searchLink fieldCode="DE" term="%22Gross-Pitaevskii+equations%22">Gross-Pitaevskii equations</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+singularities%22">Mathematical singularities</searchLink><br /><searchLink fieldCode="DE" term="%22Vortex+motion%22">Vortex motion</searchLink><br /><searchLink fieldCode="DE" term="%22Uniqueness+%28Mathematics%29%22">Uniqueness (Mathematics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper focuses on normalized vortex solutions of mass‐supercritical Gross–Pitaevskii equations with a harmonic potential. We prove regularity, mass concentration, and uniqueness of vortex solutions. The primary challenge lies in addressing the singularities at the origin and infinity, which arise from the combined effects of the vortex and the harmonic potential. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Studies in Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1111/sapm.70315
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      – Code: eng
        Text: English
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        PageCount: 38
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      – SubjectFull: Gross-Pitaevskii equations
        Type: general
      – SubjectFull: Mathematical singularities
        Type: general
      – SubjectFull: Vortex motion
        Type: general
      – SubjectFull: Uniqueness (Mathematics)
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      – TitleFull: Vortex Solutions to Mass‐Supercritical Gross–Pitaevskii Equations.
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            NameFull: Long, Wei
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            NameFull: Lu, Shuyao
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            NameFull: Yang, Jinge
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            – D: 01
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
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