Título:	Kirchhoff–Boussinesq-type problems with positive and zero mass
Autor(es):	Carlos, Romulo Diaz Figueiredo, Giovany de Jesus Malcher Ruviaro, Ricardo
Afiliação do autor:	Universidade de Brasília, Departamento de Matemática Universidade de Brasília, Departamento de Matemática Universidade de Brasília, Departamento de Matemática
Assunto:	Kirchhoff–Boussinesq Massa zero Massa positiva
Data de publicação:	1-Fev-2023
Editora:	Taylor & Francis
Referência:	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.
Abstract:	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 .
Unidade Acadêmica:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	https://doi.org/10.1080/00036811.2023.2171875
Versão da editora:	https://www.tandfonline.com/doi/full/10.1080/00036811.2023.2171875
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