An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian

We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions.

Detalhes bibliográficos
Autores: del Pezzo, Leandro Martin, Rossi, Julio Daniel, Saintier, Nicolas Bernard Claude, Salort, Ariel Martin
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/43059
Acesso em linha:http://hdl.handle.net/11336/43059
Access Level:acceso abierto
Palavra-chave:Fractional
Eigenvalue
P-Laplacian
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions.