Artykuł  

On the solvability of some parabolic equations involving nonlinear boundary conditions with L1 data

creativeworkseries.issn1232-9274
dc.contributor.authorTaourirte, Laila
dc.contributor.authorCharkaoui, Abderrahim
dc.contributor.authorAlaa, Nour Eddine
dc.date.issued2024
dc.description.abstractWe analyze the existence of solutions for a class of quasilinear parabolic equations with critical growth nonlinearities, nonlinear boundary conditions, and $L^1$ data. We formulate our problems in an abstract form, then using some techniques of functional analysis, such as Leray-Schauder's topological degree associated with the truncation method and very interesting compactness results, we establish the existence of weak solutions to the proposed models.en
dc.description.placeOfPublicationKraków
dc.description.versionwersja wydawnicza
dc.identifier.doihttps://doi.org/10.7494/OpMath.2024.44.4.587
dc.identifier.eissn2300-6919
dc.identifier.issn1232-9274
dc.identifier.urihttps://repo.agh.edu.pl/handle/AGH/108415
dc.language.isoeng
dc.publisherWydawnictwa AGH
dc.rightsAttribution 4.0 International
dc.rights.accessotwarty dostęp
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/legalcode
dc.subjectquasilinear parabolic equation, nonlinear boundary conditions, weak solutions, Leray-Schauder topological degree, $L^1$-data.en
dc.titleOn the solvability of some parabolic equations involving nonlinear boundary conditions with L1 dataen
dc.title.relatedOpuscula Mathematica
dc.typeartykuł
dspace.entity.typePublication
publicationissue.issueNumberNo. 4
publicationissue.paginationpp. 587-623
publicationvolume.volumeNumberVol. 44
relation.isJournalIssueOfPublication958a565f-0ba8-4db5-bbd6-a87484b6015d
relation.isJournalIssueOfPublication.latestForDiscovery958a565f-0ba8-4db5-bbd6-a87484b6015d
relation.isJournalOfPublication304b3b9b-59b9-4830-9178-93a77e6afbc7
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