Nontrivial solutions for a mixed boundary problem for Schrödinger equations with an external magnetic field

dc.creatorAlves, Claudianor O.
dc.creatorNemer, Rodrigo C. M.
dc.creatorSoares, Sérgio Henrique Monari
dc.date.accessioned2016-09-14T18:48:59Z
dc.date.accessioned2018-07-04T17:09:48Z
dc.date.available2016-09-14T18:48:59Z
dc.date.available2018-07-04T17:09:48Z
dc.date.created2016-09-14T18:48:59Z
dc.date.issued2015
dc.identifierTopological Methods in Nonlinear Analysis, Torun, v. 46, n. 1, p. 329-362, 2015
dc.identifier1230-3429
dc.identifierhttp://www.producao.usp.br/handle/BDPI/50689
dc.identifier10.12775/TMNA.2015.050
dc.identifierhttp://projecteuclid.org/euclid.tmna/1459343898
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1645506
dc.description.abstractWe study the existence of solutions for a class of nonlinear Schrödinger equations involving a magnetic field with mixed Dirichlet-Neumann boundary conditions. We use Lusternik-Shnirelman category and the Morse theory to estimate the number of nontrivial solutions in terms of the topology of the part of the boundary where the Neumann condition is prescribed.
dc.languageeng
dc.publisherJuliusz Schauder Centre for Nonlinear Studies
dc.publisherTorun
dc.relationTopological methods in nonlinear analysis
dc.rightsCopyright Juliusz Schauder Centre for Nonlinear Studies
dc.rightsclosedAccess
dc.subjectNonlinear Schrödinger equation
dc.subjectvariational methods
dc.subjectLusternik-Schnirelman category
dc.subjectMorse theory
dc.titleNontrivial solutions for a mixed boundary problem for Schrödinger equations with an external magnetic field
dc.typeArtículos de revistas


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