Convergence rate for some quasilinear eigenvalues homogenization problems

In this work we study the homogenization problem for (nonlinear) eigenvalues of quasilinear elliptic operators. We prove convergence of the first and second eigenvalues and, in the case where the operator is independent of ε, convergence of the full (variational) spectrum together whit an explicit i...

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Detalhes bibliográficos
Autores: Fernandez Bonder, Julian, Pinasco, Juan Pablo, Salort, Ariel Martin
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2015
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositório:CONICET Digital (CONICET)
Idioma:inglês
OAI Identifier:oai:ri.conicet.gov.ar:11336/18777
Acesso em linha:http://hdl.handle.net/11336/18777
Access Level:Acceso aberto
Palavra-chave:Homogenization
Eigenvalues
Convergence Rate
Quasilinear Operators
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:In this work we study the homogenization problem for (nonlinear) eigenvalues of quasilinear elliptic operators. We prove convergence of the first and second eigenvalues and, in the case where the operator is independent of ε, convergence of the full (variational) spectrum together whit an explicit in k and in ε order of convergence.