Nonlocal problems in thin domains

In this paper we consider nonlocal problems in thin domains. First, we deal with a nonlocal Neumann problem, that is, we study the behavior of the solutions to f(x)=∫Ω1×Ω2Jϵ(x−y)(uϵ(y)−uϵ(x))dy with Jϵ(z)=J(z1,ϵz2) and Ω=Ω1×Ω2⊂RN=RN1×RN2 a bounded domain. We find that there is a limit problem, that...

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Detalles Bibliográficos
Autores principales: Pereira, M.C., Rossi, J.D.
Formato: JOUR
Materias:
Dirichlet problem
Neumann problem
Nonlocal equations
Thin domains
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00220396_v263_n3_p1725_Pereira
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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