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dc.contributor.authorCossio, Jorge-
dc.date.accessioned2021-10-15T19:28:58Z-
dc.date.available2021-10-15T19:28:58Z-
dc.date.issued2015-06-24-
dc.identifier.urihttps://repositorio.accefyn.org.co/handle/001/850-
dc.description.abstractEn este artículo se presentan los resultados más importantes de mi trabajo de investigación en el estudio de la existencia, multiplicidad y propiedades cualitativas de las soluciones de problemas elípticos semilineales y cuasilineales. Los teoremas que se presentan han sido obtenidos utilizando metodos variacionales, un principio de minimax demostrado por A. Castro, J. Cossio y J. M. Neuberger, teoría de grado, teoría de Morse y teoría de bifurcacion. Además se formulan una serie de preguntas abiertas relacionadas con los problemas en estudio, que esperamos sean de interés para los analistas no lineales.spa
dc.description.abstractThis article presents the most important results of my research work in the study of the existence, multiplicity and qualitative properties of solutions of semi-linear and quasilinear elliptical problems. The theorems presented have been obtained using variational methods, a minimax principle demonstrated by A. Castro, J. Cossio and J. M. Neuberger, degree theory, Morse theory and bifurcation theory. In addition, a series of open questions related to the problems under study are formulated, which we hope will be of interest to non-linear analysts.eng
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dc.publisherAcademia Colombiana de Ciencias Exactas, Físicas y Naturalesspa
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 Internationalspa
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dc.titleExistencia y multiplicidad de soluciones para problemas elípticos semilineales y cuasilinealesspa
dc.typeArtículo de revistaspa
dcterms.audienceEstudiantes, Profesores, Comunidad científicaspa
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dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.type.driverinfo:eu-repo/semantics/articlespa
dc.type.versioninfo:eu-repo/semantics/publishedVersionspa
dc.rights.creativecommonsAtribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)spa
dc.identifier.doihttps://doi.org/10.18257/raccefyn.193-
dc.subject.proposalEcuaciones elípticas semilinealesspa
dc.subject.proposalSemilinear eliptic equationseng
dc.subject.proposalEcuaciones elípticas cuasilinealesspa
dc.subject.proposalCuasilinear eliptic equationseng
dc.subject.proposalMétodos variacionalesspa
dc.subject.proposalVariational methodseng
dc.subject.proposalReducción de Lyapunov-Schmidtspa
dc.subject.proposalLyapunov-Schmidt reductioneng
dc.subject.proposalTeoría de gradospa
dc.subject.proposalLeray-Schauder degreeeng
dc.subject.proposalTeoría de Morsespa
dc.subject.proposalMorse Theoryeng
dc.subject.proposalTeoría de bifurcaciónspa
dc.subject.proposalBifurcation theoryeng
dc.type.coarhttp://purl.org/coar/resource_type/c_6501spa
dc.relation.ispartofjournalRevista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturalesspa
dc.relation.citationvolume39spa
dc.relation.citationstartpage138spa
dc.relation.citationendpage151spa
dc.publisher.placeBogotá, Colombiaspa
dc.contributor.corporatenameAcademia Colombiana de Ciencias Exactas, Físicas y Naturalesspa
dc.relation.citationissue151spa
dc.type.contentDataPaperspa
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