Fixed point index theory for decomposable multivalued maps and applications to discontinuous ϕ-Laplacian problems

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorPrecup, Radu
dc.contributor.authorRodríguez López, Jorge
dc.date.accessioned2025-12-29T09:33:50Z
dc.date.available2025-12-29T09:33:50Z
dc.date.issued2020
dc.description.abstractIn this paper, we develop a fixed point index theory for decomposable multivalued maps, that is, compositions of two multivalued nonlinear upper semicontinuous maps. As an application, this fixed point index theory is combined with the method of lower and upper solutions in order to obtain new existence, localization and multiplicity results for ϕ-Laplacian problems with discontinuous nonlinearities and nonlinear functional boundary conditions.
dc.description.peerreviewedSI
dc.description.sponsorshipJorge Rodríguez-López was financially supported by Xunta de Galicia, Spain under grant ED481A-2017/178 and partially supported by Ministerio de Economía y Competitividad, Spain, and FEDER, Spain, Project MTM2016-75140-P, and Xunta de Galicia, Spain ED431C 2019/02.
dc.identifier.citationNonlinear Analysis Volume 199, October 2020, 111958
dc.identifier.doi10.1016/j.na.2020.111958
dc.identifier.issn0362-546X
dc.identifier.urihttps://hdl.handle.net/10347/44794
dc.journal.titleNonlinear Analysis
dc.language.isoeng
dc.publisherElsevier
dc.relation.projectID2
dc.relation.publisherversionhttps://doi.org/10.1016/j.na.2020.111958
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectFixed point index theory
dc.subjectDiscontinuous differential equation
dc.subjectMultiple solutions
dc.subjectϕ-Laplacian equation
dc.subjectLower and upper solutions
dc.titleFixed point index theory for decomposable multivalued maps and applications to discontinuous ϕ-Laplacian problems
dc.typejournal article
dc.type.hasVersionAM
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscoveryb86d9a4b-9b81-4e44-b7d3-fff2e4312401

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