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On strong solvability of one nonlocal boundary value problem for Laplace equation in rectangle

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dc.contributor.authorGasymov, Telman
dc.contributor.authorAkhmadli, Baharchin
dc.contributor.authorIldiz, Umit
dc.date.accessioned2026-06-27T15:07:01Z
dc.date.issued2024
dc.description.abstractOne nonlocal boundary value problem for the Laplace equation in a bounded domain is considered in this work. The concept of a strong solution to this problem is introduced. The correct solvability of this problem in the Sobolev spaces generated by the weighted mixed norm is proved by the Fourier method. In a classic statement, this problem has been earlier considered by E.I.Moiseev [34]. A similar problem has been treated by M.E.Lerner and O.A.Repin [30].en
dc.description.sponsorshipAzerbaijan Science Foundation-Grant
dc.description.sponsorship[AEF-MCG-2023-1 (43) -13/06/1-M-06]
dc.description.urihttps://doi.org/10.55730/1300-0098.3489
dc.identifier.doi10.55730/1300-0098.3489
dc.identifier.eissn1303-6149
dc.identifier.issn1300-0098
dc.identifier.issue1
dc.identifier.urihttps://hdl.handle.net/20.500.14981/68127
dc.identifier.volume48
dc.identifier.wos001156886800004
dc.language.isoeng
dc.publisherTubitak Scientific & Technological Research Council Turkey
dc.relation.ispartofTURKISH JOURNAL OF MATHEMATICS
dc.rightsopenAccess
dc.subjectLaplace equation
dc.subjectnonlocal problem
dc.subjectweighted Sobolev space
dc.subjectstrong solution
dc.subjectORDER ELLIPTIC-EQUATIONS
dc.subjectLEBESGUE SPACES
dc.subjectEIGENFUNCTIONS
dc.subjectOPERATOR
dc.subjectPOINT
dc.subjectMathematics
dc.titleOn strong solvability of one nonlocal boundary value problem for Laplace equation in rectangle
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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