On the behaviour of solutions to the Dirichlet problem for the p(x)-Laplacian when p(x) goes to 1 in a subdomain

In this paper we prove a stability result for some classes of elliptic problems involving variable exponents. More precisely, we consider the Dirichlet problem for an elliptic equation in a domain, which is the p-Laplacian equation, -div(∇up-2∇u) = f, in a subdomain Ω1 of Ω and the Laplace equation,...

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Detalles Bibliográficos
Autores principales: Mercaldo, A., Rossi, J.D., De León, S.S., Trombetti, C.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_08934983_v25_n1-2_p53_Mercaldo
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