Kirchhoff–Boussinesq-type problems with positive and zero mass

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Autor(es): dc.contributorUniversidade de Brasília, Departamento de Matemática-
Autor(es): dc.contributorUniversidade de Brasília, Departamento de Matemática-
Autor(es): dc.contributorUniversidade de Brasília, Departamento de Matemática-
Autor(es): dc.creatorCarlos, Romulo Diaz-
Autor(es): dc.creatorFigueiredo, Giovany de Jesus Malcher-
Autor(es): dc.creatorRuviaro, Ricardo-
Data de aceite: dc.date.accessioned2024-10-23T15:56:39Z-
Data de disponibilização: dc.date.available2024-10-23T15:56:39Z-
Data de envio: dc.date.issued2024-01-02-
Data de envio: dc.date.issued2024-01-02-
Data de envio: dc.date.issued2023-01-31-
Fonte completa do material: dc.identifierhttp://repositorio2.unb.br/jspui/handle/10482/47153-
Fonte completa do material: dc.identifierhttps://doi.org/10.1080/00036811.2023.2171875-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/895983-
Descrição: dc.descriptionUsing 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 .-
Descrição: dc.descriptionInstituto de Ciências Exatas (IE)-
Descrição: dc.descriptionDepartamento de Matemática (IE MAT)-
Idioma: dc.languageen-
Publicador: dc.publisherTaylor & Francis-
Relação: dc.relationhttps://www.tandfonline.com/doi/full/10.1080/00036811.2023.2171875-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectKirchhoff–Boussinesq-
Palavras-chave: dc.subjectMassa zero-
Palavras-chave: dc.subjectMassa positiva-
Título: dc.titleKirchhoff–Boussinesq-type problems with positive and zero mass-
Tipo de arquivo: dc.typelivro digital-
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