The ∞-Fucík spectrum

In this article we study the behavior as p ↗ +∞ of the Fučik spectrum for p- Laplace operator with zero Dirichlet boundary conditions in a bounded domain ω sub; Rn. We characterize the limit equation, and we provide a description of the limit spectrum. Furthermore, we show some explicit computations...

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Detalles Bibliográficos
Autores: Rossi, Julio Daniel, Salort, Ariel Martin, Da Silva, Joao Vitor
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/92965
Acceso en línea:http://hdl.handle.net/11336/92965
Access Level:acceso abierto
Palabra clave:DEGENERATE FULLY NONLINEAR ELLIPTIC EQUATIONS
FUCIK SPECTRUM
INFINITY-LAPLACIAN OPERATOR
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:In this article we study the behavior as p ↗ +∞ of the Fučik spectrum for p- Laplace operator with zero Dirichlet boundary conditions in a bounded domain ω sub; Rn. We characterize the limit equation, and we provide a description of the limit spectrum. Furthermore, we show some explicit computations of the spectrum for certain configurations of the domain.