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dc.contributor.authorCarlos, Romulo Diaz-
dc.contributor.authorFigueiredo, Giovany de Jesus Malcher-
dc.contributor.authorRuviaro, Ricardo-
dc.date.accessioned2024-01-03T14:17:58Z-
dc.date.available2024-01-03T14:17:58Z-
dc.date.issued2023-02-01-
dc.identifier.citationCARLOS, Romulo D.; FIGUEIREDO, Giovany M.; RUVIARO, Ricardo. Kirchhoff–Boussinesq-type problems with positive and zero mass. Applicable Analysis, [S. l.], p. 16-28, fev. 2023. DOI: https://doi.org/10.1080/00036811.2023.2171875.pt_BR
dc.identifier.urihttp://repositorio2.unb.br/jspui/handle/10482/47153-
dc.language.isoengpt_BR
dc.publisherTaylor & Francispt_BR
dc.rightsAcesso Restritopt_BR
dc.titleKirchhoff–Boussinesq-type problems with positive and zero masspt_BR
dc.typeArtigopt_BR
dc.subject.keywordKirchhoff–Boussinesqpt_BR
dc.subject.keywordMassa zeropt_BR
dc.subject.keywordMassa positivapt_BR
dc.identifier.doihttps://doi.org/10.1080/00036811.2023.2171875pt_BR
dc.relation.publisherversionhttps://www.tandfonline.com/doi/full/10.1080/00036811.2023.2171875pt_BR
dc.description.abstract1Using variational methods we show the existence of solutions for the following class of elliptic Kirchhoff–Boussinesq-type problems given by Δ2u−Δpu+u=h(u),inRN and Δ2u−Δpu=f(u),inRN, where 2<p≤2NN−2 for N≥3 and 2∗∗=∞ for N = 3, N = 4, 2∗∗=2NN−4 for N≥5 and h and f are continuous functions that satisfy hypotheses considered by Berestycki and Lions [Nonlinear scalar field. Arch Rational Mech Anal. 1983;82:313–345]. More precisely, the problem with the nonlinearity h is related to the Positive mass case and the problem with the nonlinearity f is related to the Zero mass case. The main argument is to find a Palais–Smale sequence satisfying a property related to Pohozaev identity, as in Hirata et al. [Nonlinear scalar field equations in RN: mountain pass and symmetric mountain pass approaches. Topol Methods Nonlinear Anal. 2010;35:253–276], which was used for the first time by Jeanjean [On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer- type problem set on RN .pt_BR
dc.contributor.affiliationUniversidade de Brasília, Departamento de Matemáticapt_BR
dc.contributor.affiliationUniversidade de Brasília, Departamento de Matemática-
dc.contributor.affiliationUniversidade de Brasília, Departamento de Matemática-
dc.description.unidadeInstituto de Ciências Exatas (IE)-
dc.description.unidadeDepartamento de Matemática (IE MAT)-
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