Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities
In this paper we consider the elliptic system Δu = up - vq, Δv = -ur + vs in Ω, where the exponents verify p, s > 1, q, r > 0 and ps > qr, and Ω is a smooth bounded domain of ℝN. First, we show existence and uniqueness of boundary blow-up solutions, that is, solutions (u, v) ver...
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| Autores principales: | , , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15340392_v15_n2_p549_GarciaMelian |
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| Sumario: | In this paper we consider the elliptic system Δu = up - vq, Δv = -ur + vs in Ω, where the exponents verify p, s > 1, q, r > 0 and ps > qr, and Ω is a smooth bounded domain of ℝN. First, we show existence and uniqueness of boundary blow-up solutions, that is, solutions (u, v) verifying u = v = +∞ on ∂Ω. Then, we use them to analyze the removability of singularities of positive solutions of the system in the particular case qr ≤ 1, where comparison is available. © 2016, American Institute of Mathematical Sciences. All rights reserved. |
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