Academic Journal
Existence and multiplicity of solutions for a critical system involving a biharmonic and p-Laplacian operator.
| Τίτλος: | Existence and multiplicity of solutions for a critical system involving a biharmonic and p-Laplacian operator. |
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| Συγγραφείς: | Carlos, R. D.1 (AUTHOR) mathdiaz.unb@gmail.com, Salirrosas, S. M. A.2 (AUTHOR) semaarsa@gmail.com |
| Πηγή: | Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Aug2026, Vol. 77 Issue 8, p1-29. 29p. |
| Θεματικοί όροι: | *Biharmonic functions, *Multiplicity (Mathematics), *Elliptic equations, *Laplacian operator, *Elliptic differential equations, *Variational approach (Mathematics) |
| Περίληψη: | This paper is concerned with the existence of a ground state solution for the following class of elliptic Kirchhoff–Boussinesq-type problems given by Δ (a (ε x) Δ u) - Δ p u + u = Q u (u , v) + 1 2 ∗ K u (u , v) in R N , Δ (b (ε x) Δ v) - Δ p v + v = Q v (u , v) + 1 2 ∗ K v (u , v) in R N , u , v ∈ H 2 (R N) , where ε > 0 , 2 < p < 2 ∗ = 2 N N - 2 , 2 ∗ = 2 N N - 4 and N ≥ 5 . We establish the existence of a ground state solution for the critical system by employing variational methods, and we prove the multiplicity of solutions through the Ljusternik–Schnirelmann category. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://dx.doi.org/doi:10.1007/s00033-026-02864-z Name: EDS - Springer Nature Journals (s7799221) Category: fullText Text: View record at Springer – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:asx&genre=article&issn=00442275&ISBN=&volume=77&issue=8&date=20260801&spage=1&pages=1-29&title=Zeitschrift für Angewandte Mathematik und Physik (ZAMP)&atitle=Existence%20and%20multiplicity%20of%20solutions%20for%20a%20critical%20system%20involving%20a%20biharmonic%20and%20p-Laplacian%20operator.&aulast=Carlos%2C%20R.%20D.&id=DOI:10.1007/s00033-026-02864-z Name: Full Text Finder (for New FTF UI) (ns324271) Category: fullText Text: Full Text Finder MouseOverText: Full Text Finder |
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| Header | DbId: asx DbLabel: Academic Search Index An: 196448337 RelevancyScore: 1452 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 1452.42456054688 |
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| Items | – Name: Title Label: Title Group: Ti Data: Existence and multiplicity of solutions for a critical system involving a biharmonic and p-Laplacian operator. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Carlos%2C+R%2E+D%2E%22">Carlos, R. D.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mathdiaz.unb@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Salirrosas%2C+S%2E+M%2E+A%2E%22">Salirrosas, S. M. A.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> semaarsa@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Zeitschrift+für+Angewandte+Mathematik+und+Physik+%28ZAMP%29%22">Zeitschrift für Angewandte Mathematik und Physik (ZAMP)</searchLink>. Aug2026, Vol. 77 Issue 8, p1-29. 29p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Biharmonic+functions%22">Biharmonic functions</searchLink><br />*<searchLink fieldCode="DE" term="%22Multiplicity+%28Mathematics%29%22">Multiplicity (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Elliptic+equations%22">Elliptic equations</searchLink><br />*<searchLink fieldCode="DE" term="%22Laplacian+operator%22">Laplacian operator</searchLink><br />*<searchLink fieldCode="DE" term="%22Elliptic+differential+equations%22">Elliptic differential equations</searchLink><br />*<searchLink fieldCode="DE" term="%22Variational+approach+%28Mathematics%29%22">Variational approach (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper is concerned with the existence of a ground state solution for the following class of elliptic Kirchhoff–Boussinesq-type problems given by Δ (a (ε x) Δ u) - Δ p u + u = Q u (u , v) + 1 2 ∗ K u (u , v) in R N , Δ (b (ε x) Δ v) - Δ p v + v = Q v (u , v) + 1 2 ∗ K v (u , v) in R N , u , v ∈ H 2 (R N) , where ε > 0 , 2 < p < 2 ∗ = 2 N N - 2 , 2 ∗ = 2 N N - 4 and N ≥ 5 . We establish the existence of a ground state solution for the critical system by employing variational methods, and we prove the multiplicity of solutions through the Ljusternik–Schnirelmann category. [ABSTRACT FROM AUTHOR] |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00033-026-02864-z Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 29 StartPage: 1 Subjects: – SubjectFull: Biharmonic functions Type: general – SubjectFull: Multiplicity (Mathematics) Type: general – SubjectFull: Elliptic equations Type: general – SubjectFull: Laplacian operator Type: general – SubjectFull: Elliptic differential equations Type: general – SubjectFull: Variational approach (Mathematics) Type: general Titles: – TitleFull: Existence and multiplicity of solutions for a critical system involving a biharmonic and p-Laplacian operator. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Carlos, R. D. – PersonEntity: Name: NameFull: Salirrosas, S. M. A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00442275 Numbering: – Type: volume Value: 77 – Type: issue Value: 8 Titles: – TitleFull: Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Type: main |
| ResultId | 1 |