Concentration of ground state solutions for supercritical zero-mass (N, q)-equations of Choquard reaction

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dc.contributor.authorShen, Liejuncs
dc.contributor.authorRadulescu, Vicentiucs
dc.coverage.issueOctobercs
dc.coverage.volume308cs
dc.date.issued2024-12-04cs
dc.description.abstractWe study the following singularly perturbed (N, q)-equation of Choquard type (Formula presented.) where ru=div(|u|r-2u) denotes the usual r-Laplacian operator with r{q,N} and 1<q[removed]0 is a sufficiently small parameter, KC0(RN) satisfies some technical assumptions, 0<<N and F is the primitive of f that fulfills a supercritical exponential growth in the Trudinger–Moser sense. Due to the new version of Trudinger–Moser type inequality introduced in Shen and Rădulescu (Zero-mass (N, q)-Laplacian equation with Stein-Weiss convolution part in RN: supercritical exponential case. submitted), we aim to derive the existence and concentration of ground state solutions for the given equation using variational method, where the concentrating phenomenon appears at the maximum point set of K as 0+.en
dc.formattextcs
dc.format.extent1-46cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationMATHEMATISCHE ZEITSCHRIFT. 2024, vol. 308, issue October, p. 1-46.en
dc.identifier.doi10.1007/s00209-024-03620-7cs
dc.identifier.issn0025-5874cs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other191135cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttp://hdl.handle.net/11012/251608
dc.language.isoencs
dc.publisherSpringer Naturecs
dc.relation.ispartofMATHEMATISCHE ZEITSCHRIFTcs
dc.relation.urihttps://link.springer.com/article/10.1007/s00209-024-03620-7cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0025-5874/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectGround state; Nonlocal nonlinearity; Supercritical exponential growth; Trudinger–Moser inequality; Variational method; Zero-mass (Nen
dc.subjectq)en
dc.titleConcentration of ground state solutions for supercritical zero-mass (N, q)-equations of Choquard reactionen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-191135en
sync.item.dbtypeVAVen
sync.item.insts2025.06.11 06:56:38en
sync.item.modts2025.06.11 06:33:28en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
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