The Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities

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dc.contributor.authorChen, Wenjing
dc.contributor.authorDeng, Shengbing
dc.date.accessioned2024-01-10T12:43:59Z
dc.date.available2024-01-10T12:43:59Z
dc.date.issued2015
dc.description.abstractIn this paper, we study the multiplicity of solutions to equations driven by a nonlocal integro-differential operator with homogeneous Dirichlet boundary conditions. In particular, using fibering maps and Nehari manifold, we obtain multiple solutions to the following fractional elliptic problem
dc.description.abstract{(-Delta)(8)u(x) = lambda u(q) + u(p), u > 0 in Omega;
dc.description.abstractu = 0, in R-N\Omega,
dc.description.abstractwhere Omega is a smooth bounded set in R-n, n > 2s with s is an element of(0, 1), lambda is a positive parameter, the exponents p and q satisfy 0 < q < 1 < p <= 2(s)* - 1 with 2(s)* = 2n/n-2s.
dc.description.funderFundamental Research Funds for the Central
dc.description.funderSouthwest University
dc.description.funderPostdoctoral Fondecyt
dc.fechaingreso.objetodigital2024-03-19
dc.format.extent14 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1007/s00033-014-0486-6
dc.identifier.eissn1420-9039
dc.identifier.issn0044-2275
dc.identifier.urihttps://doi.org/10.1007/s00033-014-0486-6
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77637
dc.identifier.wosidWOS:000359383000007
dc.information.autorucMatemática;Deng S;S/I;237776
dc.issue.numero4
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final1400
dc.pagina.inicio1387
dc.publisherSPRINGER BASEL AG
dc.revistaZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
dc.rightsacceso restringido
dc.subjectNonlocal integro-differential operator
dc.subjectConcave-convex nonlinearities
dc.subjectNehari manifold
dc.subjectCHANGING WEIGHT FUNCTION
dc.subjectBREZIS-NIRENBERG RESULT
dc.subjectFRACTIONAL LAPLACIAN
dc.subjectEQUATION
dc.subjectINEQUALITIES
dc.titleThe Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities
dc.typeartículo
dc.volumen66
sipa.codpersvinculados237776
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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