An elliptic singular system with nonlocal boundary conditions
We study the existence of solutions for the nonlinear second order elliptic system ∆u + g(u) = f(x), where g ∈ C(R N \ S, R N ) with S ⊂ R N bounded. Using topological degree methods, we prove an existence result under a geometric condition on g. Moreover, we analyze the particular case of an isolat...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/19932 |
| Acceso en línea: | http://hdl.handle.net/11336/19932 |
| Access Level: | acceso abierto |
| Palabra clave: | Singularities Elliptic System Nonlocal Conditions Topological Degree https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We study the existence of solutions for the nonlinear second order elliptic system ∆u + g(u) = f(x), where g ∈ C(R N \ S, R N ) with S ⊂ R N bounded. Using topological degree methods, we prove an existence result under a geometric condition on g. Moreover, we analyze the particular case of an isolated repulsive singularity: under a Nirenberg type condition, we prove the existence of a sequence of solutions of appropriate approximated problems that converges to a generalized solution. |
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