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http://www.repositorio.ufop.br/jspui/handle/123456789/10504
Title: | On a class of nonhomogeneous equations of Hénon-type : symmetry breaking and non radial solutions. |
Authors: | Assunção, Ronaldo Brasileiro Miyagaki, Olimpio Hiroshi Pereira, Gilberto de Assis Rodrigues, Bruno Mendes |
Keywords: | Degenerate operator |
Issue Date: | 2017 |
Citation: | ASSUNÇÃO, R. B. et al. On a class of nonhomogeneous equations of Hénon-type : symmetry breaking and non radial solutions. Nonlinear Analysis, v. 165, p. 102-120, dez. 2017. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0362546X17302420>. Acesso em: 16 jun. 2018. |
Abstract: | In this work we study the following Hénon-type equation ⎧⎪⎨ ⎪⎩ −div ( |∇u|p−2∇u |x|ap ) = |x|βf(u), in B; u > 0, in B; u = 0, on ∂B; where B := { x ∈ RN ; |x| < 1 } is a ball centered at the origin, the parameters verify the inequalities 0 ≤ a < N−p p , N ≥ 4, β > 0, 2 ≤ p < Np+pβ N−p(a+1) , and the nonlinearity f is nonhomogeneous. By minimization on the Nehari manifold, we prove that for large values of the parameter β there is a symmetry breaking and non radial solutions appear. |
URI: | http://www.repositorio.ufop.br/handle/123456789/10504 |
metadata.dc.identifier.uri2: | https://www.sciencedirect.com/science/article/pii/S0362546X17302420#! |
ISSN: | 0362546X |
Appears in Collections: | DEMAT - Artigos publicados em periódicos |
Files in This Item:
File | Description | Size | Format | |
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ARTIGO_ClassNonhomogeneousEquations.pdf Restricted Access | 834,33 kB | Adobe PDF | View/Open |
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