The behavior of solutions to an elliptic equation involving a p-Laplacian and a q-Laplacian for large p

In this paper we study the behavior as p→∞ of solutions up,q to −Δpu−Δqu=0 in a bounded smooth domain Ω with a Lipschitz Dirichlet boundary datum u=g on ∂Ω. We find that there is a uniform limit of a subsequence of solutions, that is, there is pj→∞ such that upj,q→u∞ uniformly in Ω¯ and we prove tha...

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Autores principales: Bonheure, D., Rossi, J.D.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v150_n_p104_Bonheure
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