One-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime.
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| Title: | One-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime. |
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| Authors: | Meiyu Liu1, Minghe Pei1 peiminghe@163.com, Libo Wang1 |
| Source: | Mathematical Modelling & Analysis. 2025, Vol. 30 Issue 4, p583-603. 21p. |
| Subjects: | Rotational symmetry, Minkowski space, Boundary value problems, Uniqueness (Mathematics), Fixed point theory, Curvature measurements |
| Abstract: | We investigate the existence, uniqueness and multiplicity of one-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime. The main tools are the Schauder fixed point theorem along with cut-off technique and the Leggett-Williams fixed point theorem. In addition, we give some practical models to illustrate the effectiveness of our results. [ABSTRACT FROM AUTHOR] |
| Copyright of Mathematical Modelling & Analysis is the property of Vilnius Gediminas Technical University 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.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 189276563 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: One-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Meiyu+Liu%22">Meiyu Liu</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Minghe+Pei%22">Minghe Pei</searchLink><relatesTo>1</relatesTo><i> peiminghe@163.com</i><br /><searchLink fieldCode="AR" term="%22Libo+Wang%22">Libo Wang</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mathematical+Modelling+%26+Analysis%22">Mathematical Modelling & Analysis</searchLink>. 2025, Vol. 30 Issue 4, p583-603. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Rotational+symmetry%22">Rotational symmetry</searchLink><br /><searchLink fieldCode="DE" term="%22Minkowski+space%22">Minkowski space</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Uniqueness+%28Mathematics%29%22">Uniqueness (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Fixed+point+theory%22">Fixed point theory</searchLink><br /><searchLink fieldCode="DE" term="%22Curvature+measurements%22">Curvature measurements</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We investigate the existence, uniqueness and multiplicity of one-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime. The main tools are the Schauder fixed point theorem along with cut-off technique and the Leggett-Williams fixed point theorem. In addition, we give some practical models to illustrate the effectiveness of our results. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mathematical Modelling & Analysis is the property of Vilnius Gediminas Technical University 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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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3846/mma.2025.23218 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 583 Subjects: – SubjectFull: Rotational symmetry Type: general – SubjectFull: Minkowski space Type: general – SubjectFull: Boundary value problems Type: general – SubjectFull: Uniqueness (Mathematics) Type: general – SubjectFull: Fixed point theory Type: general – SubjectFull: Curvature measurements Type: general Titles: – TitleFull: One-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Meiyu Liu – PersonEntity: Name: NameFull: Minghe Pei – PersonEntity: Name: NameFull: Libo Wang IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: 2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 13926292 Numbering: – Type: volume Value: 30 – Type: issue Value: 4 Titles: – TitleFull: Mathematical Modelling & Analysis Type: main |
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