Inhomogeneous torsional creep problems in anisotropic Orlicz Sobolev spaces

In this paper, we study the asymptotic behavior of the sequence of solutions for a family of torsional creep-type problems, involving inhomogeneous and anisotropic differential operators, on a bounded domain, subject to the homogenous Dirichlet boundary condition. We find out that the sequence of so...

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Detalles Bibliográficos
Autores: Mihailescu, Mihai, Pérez Pérez, Maria Teresa
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:11336/88611
Acceso en línea:http://hdl.handle.net/11336/88611
Access Level:acceso abierto
Palabra clave:ANISOTROPIC OPERATOR
ORLICZ SOBOLEV SPACE
GAMMA CONVERGENCE
VISCOSITY SOLUTION
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:In this paper, we study the asymptotic behavior of the sequence of solutions for a family of torsional creep-type problems, involving inhomogeneous and anisotropic differential operators, on a bounded domain, subject to the homogenous Dirichlet boundary condition. We find out that the sequence of solutions converges uniformly on the domain to a certain distance function defined in accordance with the anisotropy of the problem. In addition, we identify the limit problem via viscosity solution theory.