Planar Choquard equations with critical exponential reaction and Neumann boundary condition

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dc.contributor.authorRawat, Sushmitacs
dc.contributor.authorRadulescu, Vicentiucs
dc.contributor.authorSreenadh, Konijetics
dc.coverage.issue10cs
dc.coverage.volume297cs
dc.date.accessioned2025-04-04T11:56:24Z
dc.date.available2025-04-04T11:56:24Z
dc.date.issued2024-10-26cs
dc.description.abstractWe study the existence of positive weak solutions for the following problem: (Formula presented.) where (Formula presented.) is a bounded domain in (Formula presented.) with smooth boundary, (Formula presented.) is a bounded measurable function on (Formula presented.), (Formula presented.) is nonnegative real number, (Formula presented.) is the unit outer normal to (Formula presented.), (Formula presented.), and (Formula presented.). The functions (Formula presented.) and (Formula presented.) have critical exponential growth, while (Formula presented.) and (Formula presented.) are their primitives. The proofs combine the constrained minimization method with energy methods and topological tools.en
dc.formattextcs
dc.format.extent3847-3869cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationMathematische Nachrichten. 2024, vol. 297, issue 10, p. 3847-3869.en
dc.identifier.doi10.1002/mana.202400095cs
dc.identifier.issn1522-2616cs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other193714cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttps://hdl.handle.net/11012/250734
dc.language.isoencs
dc.publisherWileycs
dc.relation.ispartofMathematische Nachrichtencs
dc.relation.urihttps://onlinelibrary.wiley.com/doi/full/10.1002/mana.202400095cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1522-2616/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectCherrier inequalityen
dc.subjectHardy–Littlewood–Sobolev inequalityen
dc.subjectMoser–Trudinger inequalityen
dc.subjectNehari manifolden
dc.subjectNeumann problemen
dc.titlePlanar Choquard equations with critical exponential reaction and Neumann boundary conditionen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-193714en
sync.item.dbtypeVAVen
sync.item.insts2025.04.04 13:56:24en
sync.item.modts2025.04.04 10:32:09en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
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