Large solutions to the p-Laplacian for large p

In this work we consider the behaviour for large values of p of the unique positive weak solution u p to Δ p u = u q in Ω, u = +∞ on partial Ω, where q > p - 1. We take q = q(p) and analyze the limit of u p as p → ∞. We find that when q(p)/p → Q the behaviour strongly depends on Q. If 1 &...

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Detalles Bibliográficos
Autores principales: García-Melián, J., Rossi, J.D., De Lis, J.C.S.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09442669_v31_n2_p187_GarciaMelian
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