In this article we study the Hénon equation
where B1 is the ball centered at the origin of RN (N≥ 3) and μ≥α≥0. Under appropriate hypotheses on the constant λ, we prove existence of at least one radial solution using variational methods.
Eudes M. Barboza, Olimpio H. Miyagaki, Fabio R. Pereira, Claudia R. Santana
Abstract:
In this article we study the Hénon equation
where B1 is the ball centered at the origin of RN (N≥ 3) and
μ≥α≥0. Under appropriate hypotheses on the constant λ,
we prove existence of at least one radial solution using variational methods.
Submitted October 2, 2019. Published March 29, 2021.
Math Subject Classifications: 35J20, 35J25, 35B33, 35B34.
Key Words: Henon type equation; critical Sobolev growth; resonance;
noncompact variational problem.
DOI: https://doi.org/10.58997/ejde.2021.20
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Eudes M. Barboza Departamento de Matemática Universidade Federal Rural de Pernambuco 50740-560, Recife - PE, Brasil email: eudes.barboza@ufrpe.br |
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Olimpio H. Miyagaki Department of Mathematics Universidade Federal de São Carlos 13565-905, São Carlos - SP, Brazil email: olimpio@ufscar.br, ohmiyagaki@gmail.com |
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Fábio R. Pereira Departamento de Matemática Universidade Federal de Juiz de Fora 36036-330 - Juiz de Fora - MG, Brazil email: fabio.pereira@ufjf.edu.br |
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Cláudia R. Santana Departamento de Ciências Exatas e Tecnológicas Universidade Estadual de Santa Cruz 45662-900 Ilhéeus - BA, Brazil email: santana@uesc.br |
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