Kirchhoff–Boussinesq-type problems with positive and zero mass

Carlos, Romulo Diaz; Figueiredo, Giovany de Jesus Malcher; Ruviaro, Ricardo

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Campo DC	Valor	Idioma
dc.contributor.author	Carlos, Romulo Diaz	-
dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.contributor.author	Ruviaro, Ricardo	-
dc.date.accessioned	2024-01-03T14:17:58Z	-
dc.date.available	2024-01-03T14:17:58Z	-
dc.date.issued	2023-02-01	-
dc.identifier.citation	CARLOS, 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.uri	http://repositorio2.unb.br/jspui/handle/10482/47153	-
dc.language.iso	eng	pt_BR
dc.publisher	Taylor & Francis	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Kirchhoff–Boussinesq-type problems with positive and zero mass	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Kirchhoff–Boussinesq	pt_BR
dc.subject.keyword	Massa zero	pt_BR
dc.subject.keyword	Massa positiva	pt_BR
dc.identifier.doi	https://doi.org/10.1080/00036811.2023.2171875	pt_BR
dc.relation.publisherversion	https://www.tandfonline.com/doi/full/10.1080/00036811.2023.2171875	pt_BR
dc.description.abstract1	Using 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.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	-
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	-
dc.description.unidade	Instituto de Ciências Exatas (IE)	-
dc.description.unidade	Departamento de Matemática (IE MAT)	-
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