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Title: | Multiplicity of positive solutions for the Kirchhoff-type equations with critical exponent in RN. |
Authors: | Miyagaki, Olimpio Hiroshi Leme, Leandro Correia Paes Rodrigues, Bruno Mendes |
Keywords: | Variational methods p-Laplacian |
Issue Date: | 2018 |
Citation: | MIYAGAKI, O. H.; LEME, L. C. P.; RODRIGUES, B. M. Multiplicity of positive solutions for the Kirchhoff-type equations with critical exponent in RN. Computers & Mathematics with Applications, v. 75, n. 9, p. 3201-3212, maio 2018. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0898122118300579>. Acesso em: 16 jun. 2018. |
Abstract: | In this work we study the existence and multiplicity of solutions to the following Kirchhofftype problem with critical nonlinearity in RN ⎧⎨ ⎩ − ( a + b ∫ RN |∇u|pdx ) Δpu = μup∗−1 + λf (x, u); x ∈ RN , u ∈ D1,p(RN ), where N ≥ 2p, μ, λ, a, b > 0 and the nonlinearity f (x, u) satisfies certain subcritical growth conditions. By using topological and variational methods, infinitely many positive solutions are obtained. |
URI: | http://www.repositorio.ufop.br/handle/123456789/10505 |
metadata.dc.identifier.uri2: | https://www.sciencedirect.com/science/article/pii/S0898122118300579#! |
ISSN: | 08981221 |
Appears in Collections: | DEMAT - Artigos publicados em periódicos |
Files in This Item:
File | Description | Size | Format | |
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ARTIGO_MultiplicityPositiveSolutions.pdf Restricted Access | 372,48 kB | Adobe PDF | View/Open |
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